1022133152000 has 144 divisors (see below), whose sum is σ = 2581147641072. Its totient is φ = 403251609600.

The previous prime is 1022133151997. The next prime is 1022133152057. The reversal of 1022133152000 is 2513312201.

1022133152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 490470512896 + 531662639104 = 700336^2 + 729152^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2117222 + ... + 2554778.

Almost surely, 2^{1022133152000} is an apocalyptic number.

1022133152000 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 1022133152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290573820536).

1022133152000 is an abundant number, since it is smaller than the sum of its proper divisors (1559014489072).

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

1022133152000 is an frugal number, since it uses more digits than its factorization.

1022133152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437661 (or 437637 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 1022133152000 its reverse (2513312201), we get a palindrome (1024646464201).

The spelling of 1022133152000 in words is "one trillion, twenty-two billion, one hundred thirty-three million, one hundred fifty-two thousand".