3201000223200 has 144 divisors (see below), whose sum is σ = 11220737045616. Its totient is φ = 787938508800.

The previous prime is 3201000223199. The next prime is 3201000223207. The reversal of 3201000223200 is 23220001023.

3201000223200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3201000223200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201000223207) 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, 51266881 + ... + 51329280.

It is an arithmetic number, because the mean of its divisors is an integer number (77921785039).

Almost surely, 2^{3201000223200} is an apocalyptic number.

3201000223200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3201000223200 is an abundant number, since it is smaller than the sum of its proper divisors (8019736822416).

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

3201000223200 is a wasteful number, since it uses less digits than its factorization.

3201000223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102596197 (or 102596184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 3201000223200 its reverse (23220001023), we get a palindrome (3224220224223).

The spelling of 3201000223200 in words is "three trillion, two hundred one billion, two hundred twenty-three thousand, two hundred".