212012210112120 has 288 divisors, whose sum is σ = 777843775668960. Its totient is φ = 50007793651200.

The previous prime is 212012210112113. The next prime is 212012210112121. The reversal of 212012210112120 is 21211012210212.

212012210112120 is a `hidden beast` number, since 21 + 201 + 2 + 210 + 112 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212012210112093 and 212012210112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012210112121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64160316 + ... + 67383755.

It is an arithmetic number, because the mean of its divisors is an integer number (2700846443295).

Almost surely, 2^{212012210112120} is an apocalyptic number.

212012210112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012210112120 is an abundant number, since it is smaller than the sum of its proper divisors (565831565556840).

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

212012210112120 is a wasteful number, since it uses less digits than its factorization.

212012210112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131544147 (or 131544129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212012210112120 its reverse (21211012210212), we get a palindrome (233223222322332).

The spelling of 212012210112120 in words is "two hundred twelve trillion, twelve billion, two hundred ten million, one hundred twelve thousand, one hundred twenty".