212058104292 has 72 divisors (see below), whose sum is σ = 551004677496. Its totient is φ = 68715454464.

The previous prime is 212058104239. The next prime is 212058104309. The reversal of 212058104292 is 292401850212.

212058104292 is a `hidden beast` number, since 21 + 205 + 8 + 1 + 0 + 429 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36242259876 + 175815844416 = 190374^2 + 419304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1466758 + ... + 1604834.

It is an arithmetic number, because the mean of its divisors is an integer number (7652842743).

Almost surely, 2^212058104292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212058104292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275502338748).

212058104292 is an abundant number, since it is smaller than the sum of its proper divisors (338946573204).

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

212058104292 is a wasteful number, since it uses less digits than its factorization.

212058104292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139277 (or 139272 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 212058104292 in words is "two hundred twelve billion, fifty-eight million, one hundred four thousand, two hundred ninety-two".