121488796800 has 1728 divisors, whose sum is σ = 556706779200. Its totient is φ = 25035816960.

The previous prime is 121488796771. The next prime is 121488796817. The reversal of 121488796800 is 8697884121.

121488796800 is a `hidden beast` number, since 12 + 1 + 488 + 79 + 6 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 616694302 + ... + 616694498.

It is an arithmetic number, because the mean of its divisors is an integer number (322168275).

Almost surely, 2^121488796800 is an apocalyptic number.

121488796800 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 121488796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278353389600).

121488796800 is an abundant number, since it is smaller than the sum of its proper divisors (435217982400).

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

121488796800 is a wasteful number, since it uses less digits than its factorization.

121488796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 121488796800 in words is "one hundred twenty-one billion, four hundred eighty-eight million, seven hundred ninety-six thousand, eight hundred".