172113019120 has 80 divisors (see below), whose sum is σ = 457664011200. Its totient is φ = 58966935552.

The previous prime is 172113019109. The next prime is 172113019151. The reversal of 172113019120 is 21910311271.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656956 + ... + 880804.

It is an arithmetic number, because the mean of its divisors is an integer number (5720800140).

Almost surely, 2^172113019120 is an apocalyptic number.

172113019120 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 172113019120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228832005600).

172113019120 is an abundant number, since it is smaller than the sum of its proper divisors (285550992080).

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

172113019120 is a wasteful number, since it uses less digits than its factorization.

172113019120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225242 (or 225236 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 28.

The spelling of 172113019120 in words is "one hundred seventy-two billion, one hundred thirteen million, nineteen thousand, one hundred twenty".