312001212000 has 192 divisors, whose sum is σ = 1024370553024. Its totient is φ = 83016806400.

The previous prime is 312001211983. The next prime is 312001212053. The reversal of 312001212000 is 212100213.

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 31 ways as a sum of consecutive naturals, for example, 5455554 + ... + 5512446.

It is an arithmetic number, because the mean of its divisors is an integer number (5335263297).

Almost surely, 2^312001212000 is an apocalyptic number.

312001212000 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 312001212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512185276512).

312001212000 is an abundant number, since it is smaller than the sum of its proper divisors (712369341024).

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

312001212000 is a wasteful number, since it uses less digits than its factorization.

312001212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57378 (or 57360 counting only the distinct ones).

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

Adding to 312001212000 its reverse (212100213), we get a palindrome (312213312213).

The spelling of 312001212000 in words is "three hundred twelve billion, one million, two hundred twelve thousand".