211152220052000 has 96 divisors (see below), whose sum is σ = 518805788220720. Its totient is φ = 84460109260800.

The previous prime is 211152220051907. The next prime is 211152220052021. The reversal of 211152220052000 is 250022251112.

It can be written as a sum of positive squares in 8 ways, for example, as 189493054864 + 210962726997136 = 435308^2 + 14524556^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652354202 + ... + 652677798.

Almost surely, 2^{211152220052000} is an apocalyptic number.

211152220052000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211152220052000 is an abundant number, since it is smaller than the sum of its proper divisors (307653568168720).

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

211152220052000 is a wasteful number, since it uses less digits than its factorization.

211152220052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486751 (or 486733 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 211152220052000 in words is "two hundred eleven trillion, one hundred fifty-two billion, two hundred twenty million, fifty-two thousand".