122121121020120 has 192 divisors, whose sum is σ = 409163627003040. Its totient is φ = 31568982681600.

The previous prime is 122121121020103. The next prime is 122121121020149. The reversal of 122121121020120 is 21020121121221.

122121121020120 is a `hidden beast` number, since 1 + 2 + 21 + 211 + 210 + 201 + 20 = 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 = 122121121020093 and 122121121020102.

It is a congruent number.

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, 24032326 + ... + 28666965.

Almost surely, 2^{122121121020120} is an apocalyptic number.

122121121020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121121020120 is an abundant number, since it is smaller than the sum of its proper divisors (287042505982920).

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

122121121020120 is a wasteful number, since it uses less digits than its factorization.

122121121020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52699506 (or 52699499 counting only the distinct ones).

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

Adding to 122121121020120 its reverse (21020121121221), we get a palindrome (143141242141341).

The spelling of 122121121020120 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty thousand, one hundred twenty".