210120122211012 has 240 divisors, whose sum is σ = 597159433442880. Its totient is φ = 64039329139968.

The previous prime is 210120122211007. The next prime is 210120122211049. The reversal of 210120122211012 is 210112221021012.

210120122211012 is a `hidden beast` number, since 210 + 120 + 1 + 222 + 110 + 1 + 2 = 666.

It is a super-2 number, since 2×210120122211012² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3779858914 + ... + 3779914502.

It is an arithmetic number, because the mean of its divisors is an integer number (2488164306012).

Almost surely, 2^{210120122211012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210120122211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298579716721440).

210120122211012 is an abundant number, since it is smaller than the sum of its proper divisors (387039311231868).

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

210120122211012 is a wasteful number, since it uses less digits than its factorization.

210120122211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64112 (or 64101 counting only the distinct ones).

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

Adding to 210120122211012 its reverse (210112221021012), we get a palindrome (420232343232024).

The spelling of 210120122211012 in words is "two hundred ten trillion, one hundred twenty billion, one hundred twenty-two million, two hundred eleven thousand, twelve".