117951120 has 320 divisors, whose sum is σ = 482112000. Its totient is φ = 25933824.

The previous prime is 117951103. The next prime is 117951121. The reversal of 117951120 is 21159711.

It is a super-4 number, since 4×117951120⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (117951121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438346 + ... + 438614.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 2^117951120 is an apocalyptic number.

117951120 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 117951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056000).

117951120 is an abundant number, since it is smaller than the sum of its proper divisors (364160880).

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

117951120 is a wasteful number, since it uses less digits than its factorization.

117951120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 117951120 is about 10860.5303737893. The cubic root of 117951120 is about 490.4190778229.

The spelling of 117951120 in words is "one hundred seventeen million, nine hundred fifty-one thousand, one hundred twenty".