2112619392900 has 90 divisors (see below), whose sum is σ = 6848277482970. Its totient is φ = 563365169280.

The previous prime is 2112619392899. The next prime is 2112619392913. The reversal of 2112619392900 is 92939162112.

2112619392900 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 619 + 3 + 9 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18596231424 + 2094023161476 = 136368^2 + 1447074^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 130400505 + ... + 130416704.

It is an arithmetic number, because the mean of its divisors is an integer number (76091972033).

Almost surely, 2^{2112619392900} is an apocalyptic number.

2112619392900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112619392900 is an abundant number, since it is smaller than the sum of its proper divisors (4735658090070).

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

2112619392900 is a wasteful number, since it uses less digits than its factorization.

2112619392900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260817235 (or 260817219 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 2112619392900 in words is "two trillion, one hundred twelve billion, six hundred nineteen million, three hundred ninety-two thousand, nine hundred".