212112001122120 has 320 divisors, whose sum is σ = 777954632178240. Its totient is φ = 51407165376000.

The previous prime is 212112001122113. The next prime is 212112001122143. The reversal of 212112001122120 is 21221100211212.

212112001122120 is a `hidden beast` number, since 2 + 1 + 211 + 200 + 11 + 221 + 20 = 666.

212112001122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212112001122120² (a number of 29 digits) contains 22 as substring.

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 = 212112001122093 and 212112001122102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131099599 + ... + 132707681.

It is an arithmetic number, because the mean of its divisors is an integer number (2431108225557).

Almost surely, 2^{212112001122120} is an apocalyptic number.

212112001122120 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 212112001122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388977316089120).

212112001122120 is an abundant number, since it is smaller than the sum of its proper divisors (565842631056120).

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

212112001122120 is a wasteful number, since it uses less digits than its factorization.

212112001122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611818 (or 1611805 counting only the distinct ones).

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

Adding to 212112001122120 its reverse (21221100211212), we get a palindrome (233333101333332).

The spelling of 212112001122120 in words is "two hundred twelve trillion, one hundred twelve billion, one million, one hundred twenty-two thousand, one hundred twenty".