121002121122120 has 256 divisors, whose sum is σ = 461635386624000. Its totient is φ = 27617132176128.

The previous prime is 121002121122119. The next prime is 121002121122133. The reversal of 121002121122120 is 21221121200121.

121002121122120 is a `hidden beast` number, since 1 + 210 + 0 + 2 + 1 + 211 + 221 + 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 = 121002121122093 and 121002121122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6553630 + ... + 16880589.

It is an arithmetic number, because the mean of its divisors is an integer number (1803263229000).

Almost surely, 2^{121002121122120} is an apocalyptic number.

121002121122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121002121122120 is an abundant number, since it is smaller than the sum of its proper divisors (340633265501880).

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

121002121122120 is a wasteful number, since it uses less digits than its factorization.

121002121122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23434929 (or 23434919 counting only the distinct ones).

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

Adding to 121002121122120 its reverse (21221121200121), we get a palindrome (142223242322241).

The spelling of 121002121122120 in words is "one hundred twenty-one trillion, two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".