1021312232000 has 112 divisors (see below), whose sum is σ = 2529730485360. Its totient is φ = 408452096000.

The previous prime is 1021312231987. The next prime is 1021312232053. The reversal of 1021312232000 is 2322131201.

It can be written as a sum of positive squares in 8 ways, for example, as 517064541184 + 504247690816 = 719072^2 + 710104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1021312232000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80481656 + ... + 80494344.

Almost surely, 2^{1021312232000} is an apocalyptic number.

1021312232000 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 1021312232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264865242680).

1021312232000 is an abundant number, since it is smaller than the sum of its proper divisors (1508418253360).

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

1021312232000 is a wasteful number, since it uses less digits than its factorization.

1021312232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22777 (or 22757 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1021312232000 its reverse (2322131201), we get a palindrome (1023634363201).

The spelling of 1021312232000 in words is "one trillion, twenty-one billion, three hundred twelve million, two hundred thirty-two thousand".