612012112200 has 576 divisors, whose sum is σ = 2244027801600. Its totient is φ = 148908326400.

The previous prime is 612012112199. The next prime is 612012112247. The reversal of 612012112200 is 2211210216.

612012112200 is a `hidden beast` number, since 612 + 0 + 1 + 21 + 12 + 20 + 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 143 ways as a sum of consecutive naturals, for example, 240664129 + ... + 240666671.

It is an arithmetic number, because the mean of its divisors is an integer number (3895881600).

Almost surely, 2^612012112200 is an apocalyptic number.

612012112200 is a gapful number since it is divisible by the number (60) 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 612012112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122013900800).

612012112200 is an abundant number, since it is smaller than the sum of its proper divisors (1632015689400).

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

612012112200 is a wasteful number, since it uses less digits than its factorization.

612012112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 612012112200 its reverse (2211210216), we get a palindrome (614223322416).

The spelling of 612012112200 in words is "six hundred twelve billion, twelve million, one hundred twelve thousand, two hundred".