212114154120960 has 288 divisors, whose sum is σ = 833771791802880. Its totient is φ = 44753755521024.

The previous prime is 212114154120937. The next prime is 212114154120961. The reversal of 212114154120960 is 69021451411212.

It is a super-2 number, since 2×212114154120960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212114154120961) 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, 303156390 + ... + 303855269.

It is an arithmetic number, because the mean of its divisors is an integer number (2895040943760).

Almost surely, 2^{212114154120960} is an apocalyptic number.

212114154120960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212114154120960 is an abundant number, since it is smaller than the sum of its proper divisors (621657637681920).

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

212114154120960 is a wasteful number, since it uses less digits than its factorization.

212114154120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607011703 (or 607011689 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 212114154120960 in words is "two hundred twelve trillion, one hundred fourteen billion, one hundred fifty-four million, one hundred twenty thousand, nine hundred sixty".