121889520 has 240 divisors, whose sum is σ = 435781632. Its totient is φ = 30481920.

The previous prime is 121889501. The next prime is 121889531. The reversal of 121889520 is 25988121.

121889520 is a `hidden beast` number, since 121 + 8 + 8 + 9 + 520 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959697 + ... + 959823.

Almost surely, 2^121889520 is an apocalyptic number.

121889520 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 121889520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217890816).

121889520 is an abundant number, since it is smaller than the sum of its proper divisors (313892112).

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

121889520 is a wasteful number, since it uses less digits than its factorization.

121889520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 121889520 is about 11040.3586898253. The cubic root of 121889520 is about 495.8178094301.

The spelling of 121889520 in words is "one hundred twenty-one million, eight hundred eighty-nine thousand, five hundred twenty".