32412002120 has 64 divisors (see below), whose sum is σ = 77346284400. Its totient is φ = 12181708800.

The previous prime is 32412002107. The next prime is 32412002143. The reversal of 32412002120 is 2120021423.

It can be written as a sum of positive squares in 8 ways, for example, as 29777643844 + 2634358276 = 172562^2 + 51326^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 369026 + ... + 448334.

Almost surely, 2^32412002120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32412002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38673142200).

32412002120 is an abundant number, since it is smaller than the sum of its proper divisors (44934282280).

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

32412002120 is a wasteful number, since it uses less digits than its factorization.

32412002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79938 (or 79934 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 32412002120 its reverse (2120021423), we get a palindrome (34532023543).

The spelling of 32412002120 in words is "thirty-two billion, four hundred twelve million, two thousand, one hundred twenty".