312022432320 has 448 divisors, whose sum is σ = 1055758924800. Its totient is φ = 77855662080.

The previous prime is 312022432289. The next prime is 312022432333. The reversal of 312022432320 is 23234220213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 741145710 + ... + 741146130.

Almost surely, 2^312022432320 is an apocalyptic number.

312022432320 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 312022432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527879462400).

312022432320 is an abundant number, since it is smaller than the sum of its proper divisors (743736492480).

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

312022432320 is a wasteful number, since it uses less digits than its factorization.

312022432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 312022432320 its reverse (23234220213), we get a palindrome (335256652533).

The spelling of 312022432320 in words is "three hundred twelve billion, twenty-two million, four hundred thirty-two thousand, three hundred twenty".