121485772800 has 432 divisors, whose sum is σ = 497250673920. Its totient is φ = 27767439360.

The previous prime is 121485772777. The next prime is 121485772841. The reversal of 121485772800 is 8277584121.

121485772800 is a `hidden beast` number, since 1 + 21 + 485 + 7 + 72 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3206769 + ... + 3244431.

Almost surely, 2^121485772800 is an apocalyptic number.

121485772800 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 121485772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248625336960).

121485772800 is an abundant number, since it is smaller than the sum of its proper divisors (375764901120).

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

121485772800 is a wasteful number, since it uses less digits than its factorization.

121485772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37708 (or 37680 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 121485772800 in words is "one hundred twenty-one billion, four hundred eighty-five million, seven hundred seventy-two thousand, eight hundred".