3132001200 has 120 divisors (see below), whose sum is σ = 10070910976. Its totient is φ = 832032000.

The previous prime is 3132001157. The next prime is 3132001217. The reversal of 3132001200 is 21002313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 320385 + ... + 330015.

Almost surely, 2^3132001200 is an apocalyptic number.

3132001200 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 3132001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035455488).

3132001200 is an abundant number, since it is smaller than the sum of its proper divisors (6938909776).

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

3132001200 is a wasteful number, since it uses less digits than its factorization.

3132001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9923 (or 9912 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3132001200 is about 55964.2850396572. The cubic root of 3132001200 is about 1463.0998751802.

Adding to 3132001200 its reverse (21002313), we get a palindrome (3153003513).

The spelling of 3132001200 in words is "three billion, one hundred thirty-two million, one thousand, two hundred".