312030021120 has 320 divisors, whose sum is σ = 1026477676224. Its totient is φ = 80811130880.

The previous prime is 312030021113. The next prime is 312030021151. The reversal of 312030021120 is 21120030213.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312030021120.

It is a congruent number.

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, 73364914 + ... + 73369166.

Almost surely, 2^312030021120 is an apocalyptic number.

312030021120 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 312030021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513238838112).

312030021120 is an abundant number, since it is smaller than the sum of its proper divisors (714447655104).

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

312030021120 is a wasteful number, since it uses less digits than its factorization.

312030021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312030021120 its reverse (21120030213), we get a palindrome (333150051333).

The spelling of 312030021120 in words is "three hundred twelve billion, thirty million, twenty-one thousand, one hundred twenty".