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12400628480 = 285233971061
BaseRepresentation
bin10111000110010001…
…01001001100000000
31012000012222012022022
423203020221030000
5200344030102410
65410300301012
7616204413542
oct134310511400
935005865268
1012400628480
115293916799
1224a0b41768
1312281661b6
14858d07692
154c8a0a455
hex2e3229300

12400628480 has 144 divisors (see below), whose sum is σ = 31102190784. Its totient is φ = 4728176640.

The previous prime is 12400628419. The next prime is 12400628489. The reversal of 12400628480 is 8482600421.

It is a super-2 number, since 2×124006284802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12400628480.

It is not an unprimeable number, because it can be changed into a prime (12400628489) 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, 11687150 + ... + 11688210.

It is an arithmetic number, because the mean of its divisors is an integer number (215987436).

Almost surely, 212400628480 is an apocalyptic number.

12400628480 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 12400628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15551095392).

12400628480 is an abundant number, since it is smaller than the sum of its proper divisors (18701562304).

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

12400628480 is a wasteful number, since it uses less digits than its factorization.

12400628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 12400628480 in words is "twelve billion, four hundred million, six hundred twenty-eight thousand, four hundred eighty".