312021102000 has 160 divisors (see below), whose sum is σ = 1007138396160. Its totient is φ = 83107833600.

The previous prime is 312021101999. The next prime is 312021102047. The reversal of 312021102000 is 201120213.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5147871 + ... + 5208129.

It is an arithmetic number, because the mean of its divisors is an integer number (6294614976).

Almost surely, 2^312021102000 is an apocalyptic number.

312021102000 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 312021102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503569198080).

312021102000 is an abundant number, since it is smaller than the sum of its proper divisors (695117294160).

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

312021102000 is a wasteful number, since it uses less digits than its factorization.

312021102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61148 (or 61132 counting only the distinct ones).

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

Adding to 312021102000 its reverse (201120213), we get a palindrome (312222222213).

The spelling of 312021102000 in words is "three hundred twelve billion, twenty-one million, one hundred two thousand".