32142032241200 has 120 divisors (see below), whose sum is σ = 88268042968800. Its totient is φ = 11018226585600.

The previous prime is 32142032241169. The next prime is 32142032241329. The reversal of 32142032241200 is 214223024123.

It is a super-2 number, since 2×32142032241200² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32142032241200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15312776 + ... + 17284824.

It is an arithmetic number, because the mean of its divisors is an integer number (735567024740).

Almost surely, 2^{32142032241200} 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 32142032241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44134021484400).

32142032241200 is an abundant number, since it is smaller than the sum of its proper divisors (56126010727600).

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

32142032241200 is a wasteful number, since it uses less digits than its factorization.

32142032241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977895 (or 1977884 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 32142032241200 its reverse (214223024123), we get a palindrome (32356255265323).

The spelling of 32142032241200 in words is "thirty-two trillion, one hundred forty-two billion, thirty-two million, two hundred forty-one thousand, two hundred".