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126012765120 = 26351111933027
BaseRepresentation
bin111010101011011110…
…0100011001111000000
3110001021001020201121220
41311112330203033000
54031033231440440
6133520042515040
712050466554604
oct1652674431700
9401231221556
10126012765120
1149494a145a0
1220509505a80
13bb62b02458
146155b19504
153427cb08d0
hex1d56f233c0

126012765120 has 112 divisors (see below), whose sum is σ = 436462432128. Its totient is φ = 30548546560.

The previous prime is 126012765061. The next prime is 126012765121. The reversal of 126012765120 is 21567210621.

It is a super-2 number, since 2×1260127651202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126012765121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5955954 + ... + 5977073.

Almost surely, 2126012765120 is an apocalyptic number.

126012765120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126012765120 is an abundant number, since it is smaller than the sum of its proper divisors (310449667008).

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

126012765120 is a wasteful number, since it uses less digits than its factorization.

126012765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11933058 (or 11933048 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 126012765120 its reverse (21567210621), we get a palindrome (147579975741).

The spelling of 126012765120 in words is "one hundred twenty-six billion, twelve million, seven hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 11933027 23866054 35799081 47732108 59665135 71598162 95464216 119330270 131263297 143196324 178995405 190928432 238660540 262526594 286392648 357990810 381856864 393789891 477321080 525053188 572785296 656316485 715981620 763713728 787579782 954642160 1050106376 1145570592 1312632970 1431963240 1575159564 1909284320 1968949455 2100212752 2291141184 2625265940 2863926480 3150319128 3818568640 3937898910 4200425504 5250531880 5727852960 6300638256 7875797820 8400851008 10501063760 11455705920 12601276512 15751595640 21002127520 25202553024 31503191280 42004255040 63006382560 126012765120