212126507257520 has 20 divisors (see below), whose sum is σ = 493194129373920. Its totient is φ = 84850602902976.

The previous prime is 212126507257501. The next prime is 212126507257571. The reversal of 212126507257520 is 25752705621212.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1325790670280 + ... + 1325790670439.

It is an arithmetic number, because the mean of its divisors is an integer number (24659706468696).

Almost surely, 2^{212126507257520} is an apocalyptic number.

212126507257520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212126507257520 is an abundant number, since it is smaller than the sum of its proper divisors (281067622116400).

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

212126507257520 is a wasteful number, since it uses less digits than its factorization.

212126507257520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651581340732 (or 2651581340726 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 47.

The spelling of 212126507257520 in words is "two hundred twelve trillion, one hundred twenty-six billion, five hundred seven million, two hundred fifty-seven thousand, five hundred twenty".