121609376928 has 216 divisors, whose sum is σ = 378999365472. Its totient is φ = 36966219264.

The previous prime is 121609376927. The next prime is 121609376963. The reversal of 121609376928 is 829673906121.

121609376928 is a `hidden beast` number, since 1 + 2 + 1 + 609 + 3 + 7 + 6 + 9 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (121609376921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4024725 + ... + 4054827.

It is an arithmetic number, because the mean of its divisors is an integer number (1754626692).

Almost surely, 2^121609376928 is an apocalyptic number.

121609376928 is a gapful number since it is divisible by the number (18) 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 121609376928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189499682736).

121609376928 is an abundant number, since it is smaller than the sum of its proper divisors (257389988544).

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

121609376928 is a wasteful number, since it uses less digits than its factorization.

121609376928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30228 (or 30204 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 121609376928 in words is "one hundred twenty-one billion, six hundred nine million, three hundred seventy-six thousand, nine hundred twenty-eight".