32412120 has 128 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 7847424.

The previous prime is 32412103. The next prime is 32412161. The reversal of 32412120 is 2121423.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32412120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123109 + ... + 123371.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^32412120 is an apocalyptic number.

32412120 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 32412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

32412120 is an abundant number, since it is smaller than the sum of its proper divisors (74032680).

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

32412120 is a wasteful number, since it uses less digits than its factorization.

32412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 32412120 is about 5693.1643222377. The cubic root of 32412120 is about 318.8373171012.

Adding to 32412120 its reverse (2121423), we get a palindrome (34533543).

The spelling of 32412120 in words is "thirty-two million, four hundred twelve thousand, one hundred twenty".