121492880 has 80 divisors (see below), whose sum is σ = 301520880. Its totient is φ = 45367296.

The previous prime is 121492843. The next prime is 121492901. The reversal of 121492880 is 88294121.

It can be written as a sum of positive squares in 8 ways, for example, as 5456896 + 116035984 = 2336^2 + 10772^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 121492880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213236 + ... + 213804.

It is an arithmetic number, because the mean of its divisors is an integer number (3769011).

Almost surely, 2^121492880 is an apocalyptic number.

121492880 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 121492880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150760440).

121492880 is an abundant number, since it is smaller than the sum of its proper divisors (180028000).

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

121492880 is a wasteful number, since it uses less digits than its factorization.

121492880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 121492880 is about 11022.3808680339. The cubic root of 121492880 is about 495.2794123625.

The spelling of 121492880 in words is "one hundred twenty-one million, four hundred ninety-two thousand, eight hundred eighty".