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12400125051104 = 2571091139936269
BaseRepresentation
bin1011010001110010000100…
…0011001000000011100000
31121220102220000221201122122
42310130201003020003200
53111130424003113404
642212312214323412
72416610441563010
oct264344103100340
947812800851578
1012400125051104
113a50955358a1a
121483288959568
136bc432c02c5b
1430c252613c40
151678507bb3be
hexb47210c80e0

12400125051104 has 96 divisors (see below), whose sum is σ = 27946586304000. Its totient is φ = 5305526760960.

The previous prime is 12400125051019. The next prime is 12400125051107. The reversal of 12400125051104 is 40115052100421.

It is a happy number.

It is a super-2 number, since 2×124001250511042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400125051107) 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, 341875082 + ... + 341911350.

It is an arithmetic number, because the mean of its divisors is an integer number (291110274000).

Almost surely, 212400125051104 is an apocalyptic number.

12400125051104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12400125051104 is an abundant number, since it is smaller than the sum of its proper divisors (15546461252896).

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

12400125051104 is a wasteful number, since it uses less digits than its factorization.

12400125051104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38776 (or 38768 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 12400125051104 its reverse (40115052100421), we get a palindrome (52515177151525).

The spelling of 12400125051104 in words is "twelve trillion, four hundred billion, one hundred twenty-five million, fifty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1091 1399 2182 2798 4364 5596 7637 8728 9793 11192 15274 17456 19586 22384 30548 34912 36269 39172 44768 61096 72538 78344 122192 145076 156688 244384 253883 290152 313376 507766 580304 1015532 1160608 1526309 2031064 3052618 4062128 6105236 8124256 10684163 12210472 21368326 24420944 39569479 42736652 48841888 50740331 79138958 85473304 101480662 158277916 170946608 202961324 276986353 316555832 341893216 355182317 405922648 553972706 633111664 710364634 811845296 1107945412 1266223328 1420729268 1623690592 2215890824 2841458536 4431781648 5682917072 8863563296 11365834144 55357701121 110715402242 221430804484 387503907847 442861608968 775007815694 885723217936 1550015631388 1771446435872 3100031262776 6200062525552 12400125051104