216207121562120 has 64 divisors (see below), whose sum is σ = 551459459880000. Its totient is φ = 75628725919488.

The previous prime is 216207121562093. The next prime is 216207121562137. The reversal of 216207121562120 is 21265121702612.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10941646070 + ... + 10941665829.

It is an arithmetic number, because the mean of its divisors is an integer number (8616554060625).

Almost surely, 2^{216207121562120} is an apocalyptic number.

216207121562120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216207121562120 is an abundant number, since it is smaller than the sum of its proper divisors (335252338317880).

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

216207121562120 is a wasteful number, since it uses less digits than its factorization.

216207121562120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21883311942 (or 21883311938 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 216207121562120 in words is "two hundred sixteen trillion, two hundred seven billion, one hundred twenty-one million, five hundred sixty-two thousand, one hundred twenty".