117033312 has 144 divisors (see below), whose sum is σ = 354860352. Its totient is φ = 33488640.

The previous prime is 117033263. The next prime is 117033317. The reversal of 117033312 is 213330711.

It is a super-2 number, since 2×117033312² = 27393592235378688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117033317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381063 + ... + 381369.

It is an arithmetic number, because the mean of its divisors is an integer number (2464308).

Almost surely, 2^117033312 is an apocalyptic number.

117033312 is a gapful number since it is divisible by the number (12) 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 117033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177430176).

117033312 is an abundant number, since it is smaller than the sum of its proper divisors (237827040).

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

117033312 is a wasteful number, since it uses less digits than its factorization.

117033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 117033312 is about 10818.1935645467. The cubic root of 117033312 is about 489.1437385085.

The spelling of 117033312 in words is "one hundred seventeen million, thirty-three thousand, three hundred twelve".