121202880 has 112 divisors (see below), whose sum is σ = 387120384. Its totient is φ = 32128000.

The previous prime is 121202833. The next prime is 121202899. The reversal of 121202880 is 88202121.

It is a super-3 number, since 3×121202880³ (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121202880.

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, 240709 + ... + 241211.

It is an arithmetic number, because the mean of its divisors is an integer number (3456432).

Almost surely, 2^121202880 is an apocalyptic number.

121202880 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 121202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193560192).

121202880 is an abundant number, since it is smaller than the sum of its proper divisors (265917504).

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

121202880 is a wasteful number, since it uses less digits than its factorization.

121202880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 764 counting only the distinct ones).

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

The square root of 121202880 is about 11009.2179558768. The cubic root of 121202880 is about 494.8850258426.

The spelling of 121202880 in words is "one hundred twenty-one million, two hundred two thousand, eight hundred eighty".