192138117120 has 816 divisors, whose sum is σ = 732823203840. Its totient is φ = 48157949952.

The previous prime is 192138117109. The next prime is 192138117137. The reversal of 192138117120 is 21711831291.

192138117120 is a `hidden beast` number, since 1 + 92 + 1 + 381 + 171 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1512898497 + ... + 1512898623.

Almost surely, 2^192138117120 is an apocalyptic number.

192138117120 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 192138117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366411601920).

192138117120 is an abundant number, since it is smaller than the sum of its proper divisors (540685086720).

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

192138117120 is an frugal number, since it uses more digits than its factorization.

192138117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 192138117120 in words is "one hundred ninety-two billion, one hundred thirty-eight million, one hundred seventeen thousand, one hundred twenty".