121793186880 has 336 divisors, whose sum is σ = 433287489024. Its totient is φ = 31368314880.

The previous prime is 121793186843. The next prime is 121793186897. The reversal of 121793186880 is 88681397121.

121793186880 is a `hidden beast` number, since 121 + 79 + 318 + 68 + 80 = 666.

121793186880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60084427 + ... + 60086453.

Almost surely, 2^121793186880 is an apocalyptic number.

121793186880 is a gapful number since it is divisible by the number (10) 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 121793186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216643744512).

121793186880 is an abundant number, since it is smaller than the sum of its proper divisors (311494302144).

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

121793186880 is a wasteful number, since it uses less digits than its factorization.

121793186880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 121793186880 in words is "one hundred twenty-one billion, seven hundred ninety-three million, one hundred eighty-six thousand, eight hundred eighty".