121519611072 has 392 divisors, whose sum is σ = 384784092000. Its totient is φ = 37927968768.

The previous prime is 121519611013. The next prime is 121519611107. The reversal of 121519611072 is 270116915121.

121519611072 is a `hidden beast` number, since 1 + 2 + 1 + 519 + 61 + 10 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 276809829 + ... + 276810267.

Almost surely, 2^121519611072 is an apocalyptic number.

121519611072 is a gapful number since it is divisible by the number (12) 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 121519611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192392046000).

121519611072 is an abundant number, since it is smaller than the sum of its proper divisors (263264480928).

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

121519611072 is an equidigital number, since it uses as much as digits as its factorization.

121519611072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 121519611072 in words is "one hundred twenty-one billion, five hundred nineteen million, six hundred eleven thousand, seventy-two".