121873602816 has 243 divisors, whose sum is σ = 409155503211. Its totient is φ = 34787515392.

The previous prime is 121873602797. The next prime is 121873602881. The reversal of 121873602816 is 618206378121.

The square root of 121873602816 is 349104.

It is a perfect power (a square), and thus also a powerful number.

121873602816 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 7 + 360 + 281 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117298425 + ... + 117299463.

Almost surely, 2^121873602816 is an apocalyptic number.

121873602816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121873602816 is the 349104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121873602816

121873602816 is an abundant number, since it is smaller than the sum of its proper divisors (287281900395).

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

121873602816 is an frugal number, since it uses more digits than its factorization.

121873602816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 121873602816 in words is "one hundred twenty-one billion, eight hundred seventy-three million, six hundred two thousand, eight hundred sixteen".