32001004200 has 192 divisors, whose sum is σ = 110739340800. Its totient is φ = 7577337600.

The previous prime is 32001004181. The next prime is 32001004213. The reversal of 32001004200 is 240010023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227421 + ... + 340179.

It is an arithmetic number, because the mean of its divisors is an integer number (576767400).

Almost surely, 2^32001004200 is an apocalyptic number.

32001004200 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 32001004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55369670400).

32001004200 is an abundant number, since it is smaller than the sum of its proper divisors (78738336600).

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

32001004200 is a wasteful number, since it uses less digits than its factorization.

32001004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112832 (or 112823 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 32001004200 its reverse (240010023), we get a palindrome (32241014223).

The spelling of 32001004200 in words is "thirty-two billion, one million, four thousand, two hundred".