1022121221200 has 30 divisors (see below), whose sum is σ = 2455646234894. Its totient is φ = 408848488320.

The previous prime is 1022121221159. The next prime is 1022121221221. The reversal of 1022121221200 is 21221212201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 87952578624 + 934168642576 = 296568^2 + 966524^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1277651127 + ... + 1277651926.

Almost surely, 2^{1022121221200} is an apocalyptic number.

1022121221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022121221200 is an abundant number, since it is smaller than the sum of its proper divisors (1433525013694).

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

1022121221200 is a wasteful number, since it uses less digits than its factorization.

1022121221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555303071 (or 2555303060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1022121221200 its reverse (21221212201), we get a palindrome (1043342433401).

The spelling of 1022121221200 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".