121977600 has 108 divisors (see below), whose sum is σ = 402614856. Its totient is φ = 32522240.

The previous prime is 121977577. The next prime is 121977617. The reversal of 121977600 is 6779121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16024 + ... + 22376.

Almost surely, 2^121977600 is an apocalyptic number.

121977600 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 121977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201307428).

121977600 is an abundant number, since it is smaller than the sum of its proper divisors (280637256).

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

121977600 is an equidigital number, since it uses as much as digits as its factorization.

121977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 121977600 is about 11044.3469702830. The cubic root of 121977600 is about 495.9372102271.

The spelling of 121977600 in words is "one hundred twenty-one million, nine hundred seventy-seven thousand, six hundred".