121560518788800 has 672 divisors, whose sum is σ = 507781233254400. Its totient is φ = 24763519549440.

The previous prime is 121560518788789. The next prime is 121560518788853. The reversal of 121560518788800 is 8887815065121.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7868961 + ... + 17465439.

It is an arithmetic number, because the mean of its divisors is an integer number (755626835200).

Almost surely, 2^{121560518788800} is an apocalyptic number.

121560518788800 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 121560518788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253890616627200).

121560518788800 is an abundant number, since it is smaller than the sum of its proper divisors (386220714465600).

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

121560518788800 is a wasteful number, since it uses less digits than its factorization.

121560518788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9596553 (or 9596538 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 60.

The spelling of 121560518788800 in words is "one hundred twenty-one trillion, five hundred sixty billion, five hundred eighteen million, seven hundred eighty-eight thousand, eight hundred".