312100021200 has 240 divisors, whose sum is σ = 1092490201152. Its totient is φ = 75532800000.

The previous prime is 312100021183. The next prime is 312100021231. The reversal of 312100021200 is 2120001213.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7913530 + ... + 7952870.

Almost surely, 2^312100021200 is an apocalyptic number.

312100021200 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 312100021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546245100576).

312100021200 is an abundant number, since it is smaller than the sum of its proper divisors (780390179952).

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

312100021200 is a wasteful number, since it uses less digits than its factorization.

312100021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39974 (or 39963 counting only the distinct ones).

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

Adding to 312100021200 its reverse (2120001213), we get a palindrome (314220022413).

The spelling of 312100021200 in words is "three hundred twelve billion, one hundred million, twenty-one thousand, two hundred".