122120012121210 has 96 divisors (see below), whose sum is σ = 317639966231952. Its totient is φ = 32552217646080.

The previous prime is 122120012121193. The next prime is 122120012121251. The reversal of 122120012121210 is 12121210021221.

122120012121210 is a `hidden beast` number, since 1 + 221 + 20 + 0 + 1 + 212 + 1 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 94687359332049 + 27432652789161 = 9730743^2 + 5237619^2 .

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 47 ways as a sum of consecutive naturals, for example, 2935768132 + ... + 2935809728.

Almost surely, 2^{122120012121210} is an apocalyptic number.

122120012121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122120012121210 is an abundant number, since it is smaller than the sum of its proper divisors (195519954110742).

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

122120012121210 is a wasteful number, since it uses less digits than its factorization.

122120012121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53968 (or 53965 counting only the distinct ones).

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

Adding to 122120012121210 its reverse (12121210021221), we get a palindrome (134241222142431).

The spelling of 122120012121210 in words is "one hundred twenty-two trillion, one hundred twenty billion, twelve million, one hundred twenty-one thousand, two hundred ten".