117961200 has 360 divisors, whose sum is σ = 486127616. Its totient is φ = 25920000.

The previous prime is 117961189. The next prime is 117961213. The reversal of 117961200 is 2169711.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 781125 + ... + 781275.

Almost surely, 2^117961200 is an apocalyptic number.

117961200 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 117961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243063808).

117961200 is an abundant number, since it is smaller than the sum of its proper divisors (368166416).

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

117961200 is a wasteful number, since it uses less digits than its factorization.

117961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 117961200 is about 10860.9944296091. The cubic root of 117961200 is about 490.4330476874.

It can be divided in two parts, 11796 and 1200, that added together give a square (12996 = 114²).

The spelling of 117961200 in words is "one hundred seventeen million, nine hundred sixty-one thousand, two hundred".