312204040200 has 384 divisors, whose sum is σ = 1164535881600. Its totient is φ = 76422528000.

The previous prime is 312204040193. The next prime is 312204040217. The reversal of 312204040200 is 2040402213.

312204040200 is a `hidden beast` number, since 3 + 1 + 220 + 40 + 402 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12693915 + ... + 12718485.

It is an arithmetic number, because the mean of its divisors is an integer number (3032645525).

Almost surely, 2^312204040200 is an apocalyptic number.

312204040200 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 312204040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582267940800).

312204040200 is an abundant number, since it is smaller than the sum of its proper divisors (852331841400).

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

312204040200 is a wasteful number, since it uses less digits than its factorization.

312204040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24790 (or 24775 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 312204040200 its reverse (2040402213), we get a palindrome (314244442413).

The spelling of 312204040200 in words is "three hundred twelve billion, two hundred four million, forty thousand, two hundred".