1022031131200 has 168 divisors, whose sum is σ = 2616612247080. Its totient is φ = 392430796800.

The previous prime is 1022031131183. The next prime is 1022031131227. The reversal of 1022031131200 is 21311302201.

It can be written as a sum of positive squares in 12 ways, for example, as 88059456 + 1021943071744 = 9384^2 + 1010912^2 .

It is a super-2 number, since 2×1022031131200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7963540 + ... + 8090860.

Almost surely, 2^{1022031131200} is an apocalyptic number.

1022031131200 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 1022031131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308306123540).

1022031131200 is an abundant number, since it is smaller than the sum of its proper divisors (1594581115880).

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

1022031131200 is a wasteful number, since it uses less digits than its factorization.

1022031131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127545 (or 127530 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1022031131200 its reverse (21311302201), we get a palindrome (1043342433401).

The spelling of 1022031131200 in words is "one trillion, twenty-two billion, thirty-one million, one hundred thirty-one thousand, two hundred".