32125317120 has 832 divisors, whose sum is σ = 127150531200. Its totient is φ = 7644119040.

The previous prime is 32125317113. The next prime is 32125317121. The reversal of 32125317120 is 2171352123.

32125317120 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 531 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32125317121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294727626 + ... + 294727734.

Almost surely, 2^32125317120 is an apocalyptic number.

32125317120 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 32125317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63575265600).

32125317120 is an abundant number, since it is smaller than the sum of its proper divisors (95025214080).

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

32125317120 is a wasteful number, since it uses less digits than its factorization.

32125317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 32125317120 its reverse (2171352123), we get a palindrome (34296669243).

The spelling of 32125317120 in words is "thirty-two billion, one hundred twenty-five million, three hundred seventeen thousand, one hundred twenty".