12212022000100 has 144 divisors (see below), whose sum is σ = 31259271934800. Its totient is φ = 4097477099520.

The previous prime is 12212022000097. The next prime is 12212022000103. The reversal of 12212022000100 is 100022021221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12212022000097) and next prime (12212022000103).

It can be written as a sum of positive squares in 24 ways, for example, as 9920534497344 + 2291487502756 = 3149688^2 + 1513766^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12212022000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8886345 + ... + 10168144.

It is an arithmetic number, because the mean of its divisors is an integer number (217078277325).

Almost surely, 2^{12212022000100} is an apocalyptic number.

12212022000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212022000100 is an abundant number, since it is smaller than the sum of its proper divisors (19047249934700).

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

12212022000100 is a wasteful number, since it uses less digits than its factorization.

12212022000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19054562 (or 19054555 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12212022000100 its reverse (100022021221), we get a palindrome (12312044021321).

The spelling of 12212022000100 in words is "twelve trillion, two hundred twelve billion, twenty-two million, one hundred", and thus it is an aban number.