121046679936 has 960 divisors, whose sum is σ = 455330937600. Its totient is φ = 31248322560.

The previous prime is 121046679869. The next prime is 121046679947. The reversal of 121046679936 is 639976640121.

121046679936 is a `hidden beast` number, since 1 + 21 + 0 + 466 + 79 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 870839355 + ... + 870839493.

It is an arithmetic number, because the mean of its divisors is an integer number (474303060).

Almost surely, 2^121046679936 is an apocalyptic number.

121046679936 is a gapful number since it is divisible by the number (16) 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 121046679936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227665468800).

121046679936 is an abundant number, since it is smaller than the sum of its proper divisors (334284257664).

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

121046679936 is a wasteful number, since it uses less digits than its factorization.

121046679936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 121046679936 in words is "one hundred twenty-one billion, forty-six million, six hundred seventy-nine thousand, nine hundred thirty-six".