1022131003200 has 168 divisors, whose sum is σ = 3499243647168. Its totient is φ = 260717445120.

The previous prime is 1022131003199. The next prime is 1022131003237. The reversal of 1022131003200 is 23001312201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1022131003200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4518817 + ... + 4739616.

Almost surely, 2^{1022131003200} is an apocalyptic number.

1022131003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022131003200 is an abundant number, since it is smaller than the sum of its proper divisors (2477112643968).

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

1022131003200 is a wasteful number, since it uses less digits than its factorization.

1022131003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258481 (or 9258466 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1022131003200 its reverse (23001312201), we get a palindrome (1045132315401).

The spelling of 1022131003200 in words is "one trillion, twenty-two billion, one hundred thirty-one million, three thousand, two hundred".