121995842688 has 256 divisors, whose sum is σ = 364995168000. Its totient is φ = 40111718400.

The previous prime is 121995842627. The next prime is 121995842699. The reversal of 121995842688 is 886248599121.

121995842688 is a `hidden beast` number, since 1 + 21 + 9 + 9 + 584 + 26 + 8 + 8 = 666.

It is a super-3 number, since 3×121995842688³ (a number of 34 digits) contains 333 as substring.

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, 81930648 + ... + 81932136.

It is an arithmetic number, because the mean of its divisors is an integer number (1425762375).

Almost surely, 2^121995842688 is an apocalyptic number.

121995842688 is a gapful number since it is divisible by the number (18) 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 121995842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182497584000).

121995842688 is an abundant number, since it is smaller than the sum of its proper divisors (242999325312).

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

121995842688 is a wasteful number, since it uses less digits than its factorization.

121995842688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1802 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 121995842688 in words is "one hundred twenty-one billion, nine hundred ninety-five million, eight hundred forty-two thousand, six hundred eighty-eight".