32401142201200 has 120 divisors (see below), whose sum is σ = 78465017323728. Its totient is φ = 12857147197440.

The previous prime is 32401142201189. The next prime is 32401142201201. The reversal of 32401142201200 is 210224110423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32401142201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81069054 + ... + 81467746.

Almost surely, 2^{32401142201200} 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 32401142201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39232508661864).

32401142201200 is an abundant number, since it is smaller than the sum of its proper divisors (46063875122528).

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

32401142201200 is a wasteful number, since it uses less digits than its factorization.

32401142201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400331 (or 400320 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 32401142201200 its reverse (210224110423), we get a palindrome (32611366311623).

The spelling of 32401142201200 in words is "thirty-two trillion, four hundred one billion, one hundred forty-two million, two hundred one thousand, two hundred".