121117920 has 384 divisors, whose sum is σ = 496419840. Its totient is φ = 24084480.

The previous prime is 121117907. The next prime is 121117937. The reversal of 121117920 is 29711121.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1071784 + ... + 1071896.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^121117920 is an apocalyptic number.

121117920 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 121117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

121117920 is an abundant number, since it is smaller than the sum of its proper divisors (375301920).

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

121117920 is a wasteful number, since it uses less digits than its factorization.

121117920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 121117920 is about 11005.3586947450. The cubic root of 121117920 is about 494.7693650599.

The spelling of 121117920 in words is "one hundred twenty-one million, one hundred seventeen thousand, nine hundred twenty".