117193200 has 120 divisors (see below), whose sum is σ = 381801456. Its totient is φ = 30720000.

The previous prime is 117193199. The next prime is 117193201. The reversal of 117193200 is 2391711.

It is an interprime number because it is at equal distance from previous prime (117193199) and next prime (117193201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×117193200² = 27468492252480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117193201) 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, 72400 + ... + 74000.

Almost surely, 2^117193200 is an apocalyptic number.

117193200 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 117193200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190900728).

117193200 is an abundant number, since it is smaller than the sum of its proper divisors (264608256).

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

117193200 is a wasteful number, since it uses less digits than its factorization.

117193200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 117193200 is about 10825.5808158269. The cubic root of 117193200 is about 489.3663891492.

The spelling of 117193200 in words is "one hundred seventeen million, one hundred ninety-three thousand, two hundred".