121615859040 has 384 divisors, whose sum is σ = 417610432512. Its totient is φ = 29572300800.

The previous prime is 121615859039. The next prime is 121615859051. The reversal of 121615859040 is 40958516121.

It is a junction number, because it is equal to n+sod(n) for n = 121615858983 and 121615859001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317534689 + ... + 317535071.

It is an arithmetic number, because the mean of its divisors is an integer number (1087527168).

Almost surely, 2^121615859040 is an apocalyptic number.

121615859040 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 121615859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208805216256).

121615859040 is an abundant number, since it is smaller than the sum of its proper divisors (295994573472).

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

121615859040 is a wasteful number, since it uses less digits than its factorization.

121615859040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 121615859040 in words is "one hundred twenty-one billion, six hundred fifteen million, eight hundred fifty-nine thousand, forty".