121834679040 has 504 divisors, whose sum is σ = 445165171920. Its totient is φ = 31924150272.

The previous prime is 121834679039. The next prime is 121834679053. The reversal of 121834679040 is 40976438121.

121834679040 is a `hidden beast` number, since 1 + 2 + 183 + 467 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 55052974 + ... + 55055186.

It is an arithmetic number, because the mean of its divisors is an integer number (883264230).

Almost surely, 2^121834679040 is an apocalyptic number.

121834679040 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 121834679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222582585960).

121834679040 is an abundant number, since it is smaller than the sum of its proper divisors (323330492880).

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

121834679040 is an frugal number, since it uses more digits than its factorization.

121834679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 121834679040 in words is "one hundred twenty-one billion, eight hundred thirty-four million, six hundred seventy-nine thousand, forty".