1012333132000 has 384 divisors, whose sum is σ = 2669835168000. Its totient is φ = 376307712000.

The previous prime is 1012333131961. The next prime is 1012333132037. The reversal of 1012333132000 is 2313332101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316427616 + ... + 1316428384.

It is an arithmetic number, because the mean of its divisors is an integer number (6952695750).

Almost surely, 2^{1012333132000} is an apocalyptic number.

1012333132000 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 1012333132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334917584000).

1012333132000 is an abundant number, since it is smaller than the sum of its proper divisors (1657502036000).

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

1012333132000 is a wasteful number, since it uses less digits than its factorization.

1012333132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1012333132000 its reverse (2313332101), we get a palindrome (1014646464101).

The spelling of 1012333132000 in words is "one trillion, twelve billion, three hundred thirty-three million, one hundred thirty-two thousand".