312320212011000 has 192 divisors, whose sum is σ = 1055657226686400. Its totient is φ = 83284213536000.

The previous prime is 312320212010993. The next prime is 312320212011013. The reversal of 312320212011000 is 110212023213.

312320212011000 is a `hidden beast` number, since 31 + 2 + 320 + 212 + 0 + 1 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 772276846 + ... + 772681154.

It is an arithmetic number, because the mean of its divisors is an integer number (5498214722325).

Almost surely, 2^{312320212011000} is an apocalyptic number.

312320212011000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312320212011000 is an abundant number, since it is smaller than the sum of its proper divisors (743337014675400).

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

312320212011000 is a wasteful number, since it uses less digits than its factorization.

312320212011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490167 (or 490150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312320212011000 its reverse (110212023213), we get a palindrome (312430424034213).

The spelling of 312320212011000 in words is "three hundred twelve trillion, three hundred twenty billion, two hundred twelve million, eleven thousand".