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125500013120 = 26531102112391
BaseRepresentation
bin111010011100001100…
…0100011101001000000
3102222221022102020010002
41310320120203221000
54024011000404440
6133353124455132
712032002340036
oct1647030435100
9388838366102
10125500013120
1149251538409
12203a584a4a8
13bab0803cc1
1461079a4556
1533e7c79115
hex1d38623a40

125500013120 has 112 divisors (see below), whose sum is σ = 308814191616. Its totient is φ = 48529152000.

The previous prime is 125500013099. The next prime is 125500013129. The reversal of 125500013120 is 21310005521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 125500013092 and 125500013101.

It is not an unprimeable number, because it can be changed into a prime (125500013129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10122125 + ... + 10134515.

It is an arithmetic number, because the mean of its divisors is an integer number (2757269568).

Almost surely, 2125500013120 is an apocalyptic number.

125500013120 is a gapful number since it is divisible by the number (10) 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 125500013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154407095808).

125500013120 is an abundant number, since it is smaller than the sum of its proper divisors (183314178496).

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

125500013120 is a wasteful number, since it uses less digits than its factorization.

125500013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13460 (or 13450 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 125500013120 its reverse (21310005521), we get a palindrome (146810018641).

The spelling of 125500013120 in words is "one hundred twenty-five billion, five hundred million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1021 1240 1984 2042 2480 4084 4960 5105 8168 9920 10210 12391 16336 20420 24782 31651 32672 40840 49564 61955 63302 65344 81680 99128 123910 126604 158255 163360 198256 247820 253208 316510 326720 384121 396512 495640 506416 633020 768242 793024 991280 1012832 1266040 1536484 1920605 1982560 2025664 2532080 3072968 3841210 3965120 5064160 6145936 7682420 10128320 12291872 12651211 15364840 24583744 25302422 30729680 50604844 61459360 63256055 101209688 122918720 126512110 202419376 253024220 392187541 404838752 506048440 784375082 809677504 1012096880 1568750164 1960937705 2024193760 3137500328 3921875410 4048387520 6275000656 7843750820 12550001312 15687501640 25100002624 31375003280 62750006560 125500013120