121883979934080 has 4608 divisors, whose sum is σ = 586868741424000. Its totient is φ = 23675652145152.

The previous prime is 121883979934069. The next prime is 121883979934091. The reversal of 121883979934080 is 80439979388121.

121883979934080 is a `hidden beast` number, since 1 + 2 + 188 + 39 + 7 + 9 + 9 + 3 + 408 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121883979934069) and next prime (121883979934091).

It is a super-2 number, since 2×121883979934080² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 147025307106 + ... + 147025307934.

Almost surely, 2^{121883979934080} is an apocalyptic number.

121883979934080 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 121883979934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293434370712000).

121883979934080 is an abundant number, since it is smaller than the sum of its proper divisors (464984761489920).

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

121883979934080 is a wasteful number, since it uses less digits than its factorization.

121883979934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 121883979934080 in words is "one hundred twenty-one trillion, eight hundred eighty-three billion, nine hundred seventy-nine million, nine hundred thirty-four thousand, eighty".