172177125120 has 2592 divisors, whose sum is σ = 854963665920. Its totient is φ = 32606945280.

The previous prime is 172177125097. The next prime is 172177125121. The reversal of 172177125120 is 21521771271.

It is a happy number.

172177125120 is a `hidden beast` number, since 1 + 72 + 1 + 7 + 71 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172177125121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2179457241 + ... + 2179457319.

Almost surely, 2^172177125120 is an apocalyptic number.

172177125120 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 172177125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427481832960).

172177125120 is an abundant number, since it is smaller than the sum of its proper divisors (682786540800).

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

172177125120 is a wasteful number, since it uses less digits than its factorization.

172177125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 36.

Adding to 172177125120 its reverse (21521771271), we get a palindrome (193698896391).

It can be divided in two parts, 1721771251 and 20, that added together give a palindrome (1721771271).

The spelling of 172177125120 in words is "one hundred seventy-two billion, one hundred seventy-seven million, one hundred twenty-five thousand, one hundred twenty".