312012011220 has 384 divisors, whose sum is σ = 1119482305536. Its totient is φ = 63171477504.

The previous prime is 312012011209. The next prime is 312012011231. The reversal of 312012011220 is 22110210213.

It is an interprime number because it is at equal distance from previous prime (312012011209) and next prime (312012011231).

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 312012011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14736882 + ... + 14758038.

It is an arithmetic number, because the mean of its divisors is an integer number (2915318504).

Almost surely, 2^312012011220 is an apocalyptic number.

312012011220 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 312012011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559741152768).

312012011220 is an abundant number, since it is smaller than the sum of its proper divisors (807470294316).

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

312012011220 is a wasteful number, since it uses less digits than its factorization.

312012011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21299 (or 21297 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 312012011220 its reverse (22110210213), we get a palindrome (334122221433).

The spelling of 312012011220 in words is "three hundred twelve billion, twelve million, eleven thousand, two hundred twenty".