121621469488800 has 288 divisors, whose sum is σ = 397286179057152. Its totient is φ = 32317080468480.

The previous prime is 121621469488769. The next prime is 121621469488829. The reversal of 121621469488800 is 8884964126121.

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 47 ways as a sum of consecutive naturals, for example, 2657614719 + ... + 2657660481.

It is an arithmetic number, because the mean of its divisors is an integer number (1379465899504).

Almost surely, 2^{121621469488800} is an apocalyptic number.

121621469488800 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 121621469488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198643089528576).

121621469488800 is an abundant number, since it is smaller than the sum of its proper divisors (275664709568352).

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

121621469488800 is a wasteful number, since it uses less digits than its factorization.

121621469488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49700 (or 49687 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 60.

The spelling of 121621469488800 in words is "one hundred twenty-one trillion, six hundred twenty-one billion, four hundred sixty-nine million, four hundred eighty-eight thousand, eight hundred".