12415334131600 has 135 divisors (see below), whose sum is σ = 30580209296121. Its totient is φ = 4843880908800.

The previous prime is 12415334131589. The next prime is 12415334131687. The reversal of 12415334131600 is 613143351421.

The square root of 12415334131600 is 3523540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 12251484044944 + 163850086656 = 3500212^2 + 404784^2 .

It is a super-2 number, since 2×12415334131600² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2889300652 + ... + 2889304948.

Almost surely, 2^{12415334131600} is an apocalyptic number.

12415334131600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12415334131600 is the 3523540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12415334131600

12415334131600 is an abundant number, since it is smaller than the sum of its proper divisors (18164875164521).

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

12415334131600 is an frugal number, since it uses more digits than its factorization.

12415334131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 12415334131600 in words is "twelve trillion, four hundred fifteen billion, three hundred thirty-four million, one hundred thirty-one thousand, six hundred".