121671590496 has 384 divisors, whose sum is σ = 357858902016. Its totient is φ = 36063498240.

The previous prime is 121671590471. The next prime is 121671590503. The reversal of 121671590496 is 694095176121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197198380 + ... + 197198996.

It is an arithmetic number, because the mean of its divisors is an integer number (931924224).

Almost surely, 2^121671590496 is an apocalyptic number.

121671590496 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 121671590496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178929451008).

121671590496 is an abundant number, since it is smaller than the sum of its proper divisors (236187311520).

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

121671590496 is a wasteful number, since it uses less digits than its factorization.

121671590496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 121671590496 in words is "one hundred twenty-one billion, six hundred seventy-one million, five hundred ninety thousand, four hundred ninety-six".