121019093976816 has 320 divisors, whose sum is σ = 398803046400000. Its totient is φ = 34419417032448.

The previous prime is 121019093976731. The next prime is 121019093976857. The reversal of 121019093976816 is 618679390910121.

121019093976816 is a `hidden beast` number, since 1 + 210 + 19 + 0 + 9 + 397 + 6 + 8 + 16 = 666.

It is a super-2 number, since 2×121019093976816² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2037363085 + ... + 2037422483.

It is an arithmetic number, because the mean of its divisors is an integer number (1246259520000).

Almost surely, 2^{121019093976816} is an apocalyptic number.

121019093976816 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 121019093976816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199401523200000).

121019093976816 is an abundant number, since it is smaller than the sum of its proper divisors (277783952423184).

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

121019093976816 is a wasteful number, since it uses less digits than its factorization.

121019093976816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62481 (or 62469 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 121019093976816 in words is "one hundred twenty-one trillion, nineteen billion, ninety-three million, nine hundred seventy-six thousand, eight hundred sixteen".