1002132331200 has 2016 divisors, whose sum is σ = 4914162140160. Its totient is φ = 186922598400.

The previous prime is 1002132331181. The next prime is 1002132331231. The reversal of 1002132331200 is 21332312001.

1002132331200 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 132 + 331 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 533331861 + ... + 533333739.

Almost surely, 2^{1002132331200} is an apocalyptic number.

1002132331200 is a gapful number since it is divisible by the number (10) 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 1002132331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457081070080).

1002132331200 is an abundant number, since it is smaller than the sum of its proper divisors (3912029808960).

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

1002132331200 is a wasteful number, since it uses less digits than its factorization.

1002132331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002132331200 its reverse (21332312001), we get a palindrome (1023464643201).

The spelling of 1002132331200 in words is "one trillion, two billion, one hundred thirty-two million, three hundred thirty-one thousand, two hundred".