212201112210120 has 192 divisors, whose sum is σ = 753857119080000. Its totient is φ = 51339601820160.

The previous prime is 212201112210103. The next prime is 212201112210173. The reversal of 212201112210120 is 21012211102212.

212201112210120 is a `hidden beast` number, since 2 + 1 + 220 + 1 + 112 + 210 + 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 = 212201112210093 and 212201112210102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51717487 + ... + 55669566.

It is an arithmetic number, because the mean of its divisors is an integer number (3926339161875).

Almost surely, 2^{212201112210120} is an apocalyptic number.

212201112210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201112210120 is an abundant number, since it is smaller than the sum of its proper divisors (541656006869880).

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

212201112210120 is a wasteful number, since it uses less digits than its factorization.

212201112210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107387580 (or 107387573 counting only the distinct ones).

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

Adding to 212201112210120 its reverse (21012211102212), we get a palindrome (233213323312332).

The spelling of 212201112210120 in words is "two hundred twelve trillion, two hundred one billion, one hundred twelve million, two hundred ten thousand, one hundred twenty".