1312111497600 has 144 divisors (see below), whose sum is σ = 4681914618420. Its totient is φ = 349896391680.

The previous prime is 1312111497589. The next prime is 1312111497601. The reversal of 1312111497600 is 67941112131.

1312111497600 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 1 + 1 + 49 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1312111497600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312111497601) 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 17 ways as a sum of consecutive naturals, for example, 22750914 + ... + 22808513.

Almost surely, 2^{1312111497600} is an apocalyptic number.

1312111497600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312111497600 is an abundant number, since it is smaller than the sum of its proper divisors (3369803120820).

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

1312111497600 is a wasteful number, since it uses less digits than its factorization.

1312111497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45559457 (or 45559437 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1312111497600 in words is "one trillion, three hundred twelve billion, one hundred eleven million, four hundred ninety-seven thousand, six hundred".