194290125120 has 672 divisors, whose sum is σ = 852988700928. Its totient is φ = 40991588352.

The previous prime is 194290125119. The next prime is 194290125137. The reversal of 194290125120 is 21521092491.

194290125120 is a `hidden beast` number, since 1 + 9 + 42 + 90 + 12 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7062432 + ... + 7089888.

It is an arithmetic number, because the mean of its divisors is an integer number (1269328424).

Almost surely, 2^194290125120 is an apocalyptic number.

194290125120 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 194290125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426494350464).

194290125120 is an abundant number, since it is smaller than the sum of its proper divisors (658698575808).

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

194290125120 is a wasteful number, since it uses less digits than its factorization.

194290125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27509 (or 27487 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 194290125120 in words is "one hundred ninety-four billion, two hundred ninety million, one hundred twenty-five thousand, one hundred twenty".