121668747080800 has 288 divisors, whose sum is σ = 323498154792960. Its totient is φ = 44507585126400.

The previous prime is 121668747080717. The next prime is 121668747080827. The reversal of 121668747080800 is 8080747866121.

It is a congruent number.

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, 88164105 + ... + 89533495.

It is an arithmetic number, because the mean of its divisors is an integer number (1123257481920).

Almost surely, 2^{121668747080800} is an apocalyptic number.

121668747080800 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 121668747080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161749077396480).

121668747080800 is an abundant number, since it is smaller than the sum of its proper divisors (201829407712160).

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

121668747080800 is a wasteful number, since it uses less digits than its factorization.

121668747080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369614 (or 1369601 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 58.

The spelling of 121668747080800 in words is "one hundred twenty-one trillion, six hundred sixty-eight billion, seven hundred forty-seven million, eighty thousand, eight hundred".