117612000 has 432 divisors, whose sum is σ = 475793136. Its totient is φ = 28512000.

The previous prime is 117611999. The next prime is 117612013. The reversal of 117612000 is 216711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10691995 + ... + 10692005.

It is an arithmetic number, because the mean of its divisors is an integer number (1101373).

Almost surely, 2^117612000 is an apocalyptic number.

117612000 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 117612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237896568).

117612000 is an abundant number, since it is smaller than the sum of its proper divisors (358181136).

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

117612000 is an equidigital number, since it uses as much as digits as its factorization.

117612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 117612000 is about 10844.9066386023. The cubic root of 117612000 is about 489.9486271284.

Adding to 117612000 its reverse (216711), we get a palindrome (117828711).

The spelling of 117612000 in words is "one hundred seventeen million, six hundred twelve thousand".