121480800 has 216 divisors, whose sum is σ = 460423656. Its totient is φ = 27740160.

The previous prime is 121480783. The next prime is 121480819. The reversal of 121480800 is 8084121.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117084 + ... + 118116.

It is an arithmetic number, because the mean of its divisors is an integer number (2131591).

Almost surely, 2^121480800 is an apocalyptic number.

121480800 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 121480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230211828).

121480800 is an abundant number, since it is smaller than the sum of its proper divisors (338942856).

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

121480800 is a wasteful number, since it uses less digits than its factorization.

121480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 121480800 is about 11021.8328784282. The cubic root of 121480800 is about 495.2629966581.

The spelling of 121480800 in words is "one hundred twenty-one million, four hundred eighty thousand, eight hundred".