121492800 has 504 divisors, whose sum is σ = 515904480. Its totient is φ = 26726400.

The previous prime is 121492771. The next prime is 121492837. The reversal of 121492800 is 8294121.

121492800 = 66² + 67² + ... + 714².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2059171 + ... + 2059229.

It is an arithmetic number, because the mean of its divisors is an integer number (1023620).

Almost surely, 2^121492800 is an apocalyptic number.

121492800 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 121492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257952240).

121492800 is an abundant number, since it is smaller than the sum of its proper divisors (394411680).

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

121492800 is a wasteful number, since it uses less digits than its factorization.

121492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 121492800 is about 11022.3772390533. The cubic root of 121492800 is about 495.2793036528.

The spelling of 121492800 in words is "one hundred twenty-one million, four hundred ninety-two thousand, eight hundred".