121756800 has 192 divisors, whose sum is σ = 437873760. Its totient is φ = 29491200.

The previous prime is 121756799. The next prime is 121756801. The reversal of 121756800 is 8657121.

It is an interprime number because it is at equal distance from previous prime (121756799) and next prime (121756801).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (121756801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 105024 + ... + 106176.

Almost surely, 2^121756800 is an apocalyptic number.

121756800 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 121756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218936880).

121756800 is an abundant number, since it is smaller than the sum of its proper divisors (316116960).

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

121756800 is a wasteful number, since it uses less digits than its factorization.

121756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 121756800 is about 11034.3463784676. The cubic root of 121756800 is about 495.6377861923.

The spelling of 121756800 in words is "one hundred twenty-one million, seven hundred fifty-six thousand, eight hundred".