121760800 has 144 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 39260160.

The previous prime is 121760791. The next prime is 121760801. The reversal of 121760800 is 8067121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121760801) 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, 94561 + ... + 95839.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^121760800 is an apocalyptic number.

121760800 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 121760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

121760800 is an abundant number, since it is smaller than the sum of its proper divisors (238216160).

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

121760800 is a wasteful number, since it uses less digits than its factorization.

121760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 121760800 is about 11034.5276292191. The cubic root of 121760800 is about 495.6432137589.

The spelling of 121760800 in words is "one hundred twenty-one million, seven hundred sixty thousand, eight hundred".