121678228800 has 126 divisors (see below), whose sum is σ = 432473205918. Its totient is φ = 32447523840.

The previous prime is 121678228729. The next prime is 121678228801. The reversal of 121678228800 is 8822876121.

It is a happy number.

121678228800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 40972237056 + 80705991744 = 202416^2 + 284088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121678228801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4210539 + ... + 4239338.

Almost surely, 2^121678228800 is an apocalyptic number.

121678228800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121678228800 is an abundant number, since it is smaller than the sum of its proper divisors (310794977118).

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

121678228800 is a wasteful number, since it uses less digits than its factorization.

121678228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8449905 (or 8449887 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 121678228800 in words is "one hundred twenty-one billion, six hundred seventy-eight million, two hundred twenty-eight thousand, eight hundred".