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125352425420124 = 223721273373497663
BaseRepresentation
bin11100100000000111100010…
…110010011111010101011100
3121102211120112001111110122120
4130200013202302133111130
5112412233231401420444
61122334035333142540
735255261646453300
oct3440074262372534
9542746461443576
10125352425420124
1136a39735245061
121208618178aa50
1354c38b5708696
1422d5138443d00
15e75a86cc3b19
hex7201e2c9f55c

125352425420124 has 144 divisors (see below), whose sum is σ = 343023726624768. Its totient is φ = 35522365076352.

The previous prime is 125352425420093. The next prime is 125352425420147. The reversal of 125352425420124 is 421024524253521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251633317 + ... + 252130979.

It is an arithmetic number, because the mean of its divisors is an integer number (2382109212672).

Almost surely, 2125352425420124 is an apocalyptic number.

125352425420124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125352425420124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171511863312384).

125352425420124 is an abundant number, since it is smaller than the sum of its proper divisors (217671301204644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125352425420124 is a wasteful number, since it uses less digits than its factorization.

125352425420124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501184 (or 501175 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 125352425420124 its reverse (421024524253521), we get a palindrome (546376949673645).

The spelling of 125352425420124 in words is "one hundred twenty-five trillion, three hundred fifty-two billion, four hundred twenty-five million, four hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 127 147 196 254 294 381 508 588 762 889 1524 1778 2667 3373 3556 5334 6223 6746 10119 10668 12446 13492 18669 20238 23611 24892 37338 40476 47222 70833 74676 94444 141666 165277 283332 330554 428371 495831 497663 661108 856742 991662 995326 1285113 1492989 1713484 1983324 1990652 2570226 2985978 2998597 3483641 5140452 5971956 5997194 6967282 8995791 10450923 11994388 13934564 17991582 20901846 20990179 24385487 35983164 41803692 41980358 48770974 62970537 63203201 73156461 83960716 97541948 125941074 126406402 146312922 189609603 251882148 252812804 292625844 379219206 442422407 758438412 884844814 1327267221 1678617299 1769689628 2654534442 3096956849 3357234598 5035851897 5309068884 6193913698 6714469196 9290870547 10071703794 11750321093 12387827396 18581741094 20143407588 23500642186 35250963279 37163482188 47001284372 70501926558 82252247651 141003853116 164504495302 213184396973 246756742953 329008990604 426368793946 493513485906 639553190919 852737587892 987026971812 1279106381838 1492290778811 2558212763676 2984581557622 4476872336433 5969163115244 8953744672866 10446035451677 17907489345732 20892070903354 31338106355031 41784141806708 62676212710062 125352425420124