122122120212120 has 128 divisors (see below), whose sum is σ = 418777335613440. Its totient is φ = 27908765913600.

The previous prime is 122122120212089. The next prime is 122122120212149. The reversal of 122122120212120 is 21212021221221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7833331 + ... + 17481570.

It is an arithmetic number, because the mean of its divisors is an integer number (3271697934480).

Almost surely, 2^{122122120212120} is an apocalyptic number.

122122120212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122120212120 is an abundant number, since it is smaller than the sum of its proper divisors (296655215401320).

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

122122120212120 is a wasteful number, since it uses less digits than its factorization.

122122120212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25320665 (or 25320661 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122122120212120 its reverse (21212021221221), we get a palindrome (143334141433341).

The spelling of 122122120212120 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty".