212656121566000 has 160 divisors (see below), whose sum is σ = 587687409848448. Its totient is φ = 72907269811200.

The previous prime is 212656121565983. The next prime is 212656121566001. The reversal of 212656121566000 is 665121656212.

It is not an unprimeable number, because it can be changed into a prime (212656121566001) 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, 309518854 + ... + 310205146.

Almost surely, 2^{212656121566000} is an apocalyptic number.

212656121566000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212656121566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293843704924224).

212656121566000 is an abundant number, since it is smaller than the sum of its proper divisors (375031288282448).

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

212656121566000 is a wasteful number, since it uses less digits than its factorization.

212656121566000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708456 (or 708440 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 212656121566000 in words is "two hundred twelve trillion, six hundred fifty-six billion, one hundred twenty-one million, five hundred sixty-six thousand".