121959676959120 has 1280 divisors, whose sum is σ = 565035435417600. Its totient is φ = 23351081656320.

The previous prime is 121959676959083. The next prime is 121959676959121. The reversal of 121959676959120 is 21959676959121.

121959676959120 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 5 + 9 + 6 + 7 + 6 + 9 + 591 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (121959676959121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1217245986 + ... + 1217346174.

It is an arithmetic number, because the mean of its divisors is an integer number (441433933920).

Almost surely, 2^{121959676959120} is an apocalyptic number.

121959676959120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121959676959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282517717708800).

121959676959120 is an abundant number, since it is smaller than the sum of its proper divisors (443075758458480).

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

121959676959120 is a wasteful number, since it uses less digits than its factorization.

121959676959120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100805 (or 100793 counting only the distinct ones).

The product of its (nonzero) digits is 165337200, while the sum is 72.

Subtracting from 121959676959120 its reverse (21959676959121), we obtain a palindrome (99999999999999).

The spelling of 121959676959120 in words is "one hundred twenty-one trillion, nine hundred fifty-nine billion, six hundred seventy-six million, nine hundred fifty-nine thousand, one hundred twenty".