312001123200 has 192 divisors, whose sum is σ = 1106704426800. Its totient is φ = 76800245760.

The previous prime is 312001123123. The next prime is 312001123279. The reversal of 312001123200 is 2321100213.

It is a tau number, because it is divible by the number of its divisors (192).

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 312001123200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1125205 + ... + 1374804.

Almost surely, 2^312001123200 is an apocalyptic number.

312001123200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312001123200 is an abundant number, since it is smaller than the sum of its proper divisors (794703303600).

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

312001123200 is a wasteful number, since it uses less digits than its factorization.

312001123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500049 (or 2500032 counting only the distinct ones).

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

Adding to 312001123200 its reverse (2321100213), we get a palindrome (314322223413).

It can be divided in two parts, 31200 and 1123200, that multiplied together give a square (35043840000 = 187200²).

The spelling of 312001123200 in words is "three hundred twelve billion, one million, one hundred twenty-three thousand, two hundred".