121121280 has 240 divisors, whose sum is σ = 480040704. Its totient is φ = 27648000.

The previous prime is 121121269. The next prime is 121121293. The reversal of 121121280 is 82121121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160905 + ... + 161655.

Almost surely, 2^121121280 is an apocalyptic number.

121121280 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 121121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240020352).

121121280 is an abundant number, since it is smaller than the sum of its proper divisors (358919424).

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

121121280 is an equidigital number, since it uses as much as digits as its factorization.

121121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 121121280 is about 11005.5113465936. The cubic root of 121121280 is about 494.7739402423.

The spelling of 121121280 in words is "one hundred twenty-one million, one hundred twenty-one thousand, two hundred eighty".