122121122122120 has 64 divisors (see below), whose sum is σ = 299829767702400. Its totient is φ = 44396136698880.

The previous prime is 122121122122091. The next prime is 122121122122123. The reversal of 122121122122120 is 21221221121221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122121122122091 and 122121122122100.

It is not an unprimeable number, because it can be changed into a prime (122121122122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34380625 + ... + 37765984.

It is an arithmetic number, because the mean of its divisors is an integer number (4684840120350).

Almost surely, 2^{122121122122120} is an apocalyptic number.

122121122122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121122122120 is an abundant number, since it is smaller than the sum of its proper divisors (177708645580280).

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

122121122122120 is a wasteful number, since it uses less digits than its factorization.

122121122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72150478 (or 72150474 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122121122122120 its reverse (21221221121221), we get a palindrome (143342343243341).

The spelling of 122121122122120 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".