312812660160 has 1344 divisors, whose sum is σ = 1508417648640. Its totient is φ = 59988418560.

The previous prime is 312812660119. The next prime is 312812660191. The reversal of 312812660160 is 61066218213.

It is a happy number.

312812660160 is a `hidden beast` number, since 3 + 1 + 28 + 1 + 26 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60537897 + ... + 60543063.

It is an arithmetic number, because the mean of its divisors is an integer number (1122334560).

Almost surely, 2^312812660160 is an apocalyptic number.

312812660160 is a gapful number since it is divisible by the number (30) 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 312812660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754208824320).

312812660160 is an abundant number, since it is smaller than the sum of its proper divisors (1195604988480).

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

312812660160 is a wasteful number, since it uses less digits than its factorization.

312812660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 312812660160 its reverse (61066218213), we get a palindrome (373878878373).

The spelling of 312812660160 in words is "three hundred twelve billion, eight hundred twelve million, six hundred sixty thousand, one hundred sixty".