1012332132000 has 288 divisors, whose sum is σ = 4106020149504. Its totient is φ = 231390144000.

The previous prime is 1012332131989. The next prime is 1012332132043. The reversal of 1012332132000 is 2312332101.

1012332132000 is a `hidden beast` number, since 1 + 0 + 1 + 23 + 321 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1756596 + ... + 2260595.

It is an arithmetic number, because the mean of its divisors is an integer number (14257014408).

Almost surely, 2^{1012332132000} is an apocalyptic number.

1012332132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012332132000 is an abundant number, since it is smaller than the sum of its proper divisors (3093688017504).

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

1012332132000 is a wasteful number, since it uses less digits than its factorization.

1012332132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017229 (or 4017208 counting only the distinct ones).

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

Adding to 1012332132000 its reverse (2312332101), we get a palindrome (1014644464101).

The spelling of 1012332132000 in words is "one trillion, twelve billion, three hundred thirty-two million, one hundred thirty-two thousand".