393234117120 has 1280 divisors, whose sum is σ = 1636695244800. Its totient is φ = 88624005120.

The previous prime is 393234117103. The next prime is 393234117127. The reversal of 393234117120 is 21711432393.

393234117120 is a `hidden beast` number, since 393 + 2 + 34 + 117 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (393234117127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 529251469 + ... + 529252211.

It is an arithmetic number, because the mean of its divisors is an integer number (1278668160).

Almost surely, 2^393234117120 is an apocalyptic number.

393234117120 is a gapful number since it is divisible by the number (30) 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 393234117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818347622400).

393234117120 is an abundant number, since it is smaller than the sum of its proper divisors (1243461127680).

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

393234117120 is a wasteful number, since it uses less digits than its factorization.

393234117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 393234117120 in words is "three hundred ninety-three billion, two hundred thirty-four million, one hundred seventeen thousand, one hundred twenty".