312021120000 has 440 divisors, whose sum is σ = 1046654288416. Its totient is φ = 82612224000.

The previous prime is 312021119909. The next prime is 312021120011. The reversal of 312021120000 is 21120213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 312959502 + ... + 312960498.

Almost surely, 2^312021120000 is an apocalyptic number.

312021120000 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 312021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523327144208).

312021120000 is an abundant number, since it is smaller than the sum of its proper divisors (734633168416).

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

312021120000 is an equidigital number, since it uses as much as digits as its factorization.

312021120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 312021120000 its reverse (21120213), we get a palindrome (312042240213).

The spelling of 312021120000 in words is "three hundred twelve billion, twenty-one million, one hundred twenty thousand".