117861120 has 216 divisors, whose sum is σ = 439713456. Its totient is φ = 28975104.

The previous prime is 117861103. The next prime is 117861137. The reversal of 117861120 is 21168711.

It is an interprime number because it is at equal distance from previous prime (117861103) and next prime (117861137).

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, 149367 + ... + 150153.

Almost surely, 2^117861120 is an apocalyptic number.

117861120 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 117861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219856728).

117861120 is an abundant number, since it is smaller than the sum of its proper divisors (321852336).

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

117861120 is a wasteful number, since it uses less digits than its factorization.

117861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 117861120 is about 10856.3861390428. The cubic root of 117861120 is about 490.2943115981.

The spelling of 117861120 in words is "one hundred seventeen million, eight hundred sixty-one thousand, one hundred twenty".