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12400411422 = 2371727114389
BaseRepresentation
bin10111000110001111…
…10100001100011110
31012000012120011120010
423203013310030132
5200344001131142
65410251504050
7616202520660
oct134307641436
935005504503
1012400411422
115293788703
1224a0a58026
1312280bb469
14858c8c530
154c89b5e9c
hex2e31f431e

12400411422 has 96 divisors (see below), whose sum is σ = 30535349760. Its totient is φ = 3287370240.

The previous prime is 12400411409. The next prime is 12400411433. The reversal of 12400411422 is 22411400421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854604 + ... + 868992.

It is an arithmetic number, because the mean of its divisors is an integer number (318076560).

Almost surely, 212400411422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400411422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15267674880).

12400411422 is an abundant number, since it is smaller than the sum of its proper divisors (18134938338).

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

12400411422 is a wasteful number, since it uses less digits than its factorization.

12400411422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14506 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12400411422 its reverse (22411400421), we get a palindrome (34811811843).

The spelling of 12400411422 in words is "twelve billion, four hundred million, four hundred eleven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 71 102 119 142 213 238 289 357 426 497 578 714 867 994 1207 1491 1734 2023 2414 2982 3621 4046 6069 7242 8449 12138 14389 16898 20519 25347 28778 41038 43167 50694 61557 86334 100723 123114 143633 201446 244613 287266 302169 430899 489226 604338 733839 861798 1021619 1467678 1712291 2043238 3064857 3424582 4158421 5136873 6129714 7151333 8316842 10273746 12475263 14302666 17367523 21453999 24950526 29108947 34735046 42907998 52102569 58217894 87326841 104205138 121572661 174653682 243145322 295247891 364717983 590495782 729435966 885743673 1771487346 2066735237 4133470474 6200205711 12400411422