1002022131200 has 120 divisors (see below), whose sum is σ = 2507171428080. Its totient is φ = 396839936000.

The previous prime is 1002022131181. The next prime is 1002022131217. The reversal of 1002022131200 is 21312202001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905261 + ... + 1680339.

It is an arithmetic number, because the mean of its divisors is an integer number (20893095234).

Almost surely, 2^{1002022131200} is an apocalyptic number.

1002022131200 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 1002022131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253585714040).

1002022131200 is an abundant number, since it is smaller than the sum of its proper divisors (1505149296880).

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

1002022131200 is an equidigital number, since it uses as much as digits as its factorization.

1002022131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775208 (or 775187 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1002022131200 its reverse (21312202001), we get a palindrome (1023334333201).

The spelling of 1002022131200 in words is "one trillion, two billion, twenty-two million, one hundred thirty-one thousand, two hundred".