212564121 has 32 divisors (see below), whose sum is σ = 354444288. Its totient is φ = 110082240.

The previous prime is 212564089. The next prime is 212564159. The reversal of 212564121 is 121465212.

It is not a de Polignac number, because 212564121 - 2⁵ = 212564089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212564091 and 212564100.

It is not an unprimeable number, because it can be changed into a prime (212564161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84930 + ... + 87396.

It is an arithmetic number, because the mean of its divisors is an integer number (11076384).

Almost surely, 2^212564121 is an apocalyptic number.

212564121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212564121 is a deficient number, since it is larger than the sum of its proper divisors (141880167).

212564121 is a wasteful number, since it uses less digits than its factorization.

212564121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861.

The product of its digits is 960, while the sum is 24.

The square root of 212564121 is about 14579.5789033840. The cubic root of 212564121 is about 596.8016113674.

The spelling of 212564121 in words is "two hundred twelve million, five hundred sixty-four thousand, one hundred twenty-one".