121177660928000 has 832 divisors, whose sum is σ = 319695359068800. Its totient is φ = 45787853619200.

The previous prime is 121177660927957. The next prime is 121177660928041. The reversal of 121177660928000 is 829066771121.

It is a happy number.

121177660928000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 121177660928000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141397503572 + ... + 141397504428.

It is an arithmetic number, because the mean of its divisors is an integer number (384249229650).

Almost surely, 2^{121177660928000} is an apocalyptic number.

121177660928000 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 121177660928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159847679534400).

121177660928000 is an abundant number, since it is smaller than the sum of its proper divisors (198517698140800).

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

121177660928000 is an equidigital number, since it uses as much as digits as its factorization.

121177660928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 50.

The spelling of 121177660928000 in words is "one hundred twenty-one trillion, one hundred seventy-seven billion, six hundred sixty million, nine hundred twenty-eight thousand".