121876824960 has 768 divisors, whose sum is σ = 479895736320. Its totient is φ = 29312409600.

The previous prime is 121876824959. The next prime is 121876824977. The reversal of 121876824960 is 69428678121.

It is a happy number.

121876824960 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 76 + 82 + 496 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121876824897 and 121876824906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326747334 + ... + 326747706.

It is an arithmetic number, because the mean of its divisors is an integer number (624864240).

Almost surely, 2^121876824960 is an apocalyptic number.

121876824960 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 121876824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239947868160).

121876824960 is an abundant number, since it is smaller than the sum of its proper divisors (358018911360).

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

121876824960 is a wasteful number, since it uses less digits than its factorization.

121876824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 121876824960 in words is "one hundred twenty-one billion, eight hundred seventy-six million, eight hundred twenty-four thousand, nine hundred sixty".