312212322412320 has 192 divisors, whose sum is σ = 1086455770122240. Its totient is φ = 74729761766400.

The previous prime is 312212322412219. The next prime is 312212322412357. The reversal of 312212322412320 is 23214223212213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373830486 + ... + 374664725.

It is an arithmetic number, because the mean of its divisors is an integer number (5658623802720).

Almost surely, 2^{312212322412320} is an apocalyptic number.

312212322412320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312212322412320 is an abundant number, since it is smaller than the sum of its proper divisors (774243447709920).

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

312212322412320 is a wasteful number, since it uses less digits than its factorization.

312212322412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748495319 (or 748495311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 312212322412320 its reverse (23214223212213), we get a palindrome (335426545624533).

The spelling of 312212322412320 in words is "three hundred twelve trillion, two hundred twelve billion, three hundred twenty-two million, four hundred twelve thousand, three hundred twenty".