12121022021200 has 30 divisors (see below), whose sum is σ = 29120755406894. Its totient is φ = 4848408808320.

The previous prime is 12121022021177. The next prime is 12121022021219. The reversal of 12121022021200 is 212022012121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13767736896 + 12107254284304 = 117336^2 + 3479548^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15151277127 + ... + 15151277926.

Almost surely, 2^{12121022021200} is an apocalyptic number.

12121022021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121022021200 is an abundant number, since it is smaller than the sum of its proper divisors (16999733385694).

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

12121022021200 is a wasteful number, since it uses less digits than its factorization.

12121022021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30302555071 (or 30302555060 counting only the distinct ones).

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

Adding to 12121022021200 its reverse (212022012121), we get a palindrome (12333044033321).

The spelling of 12121022021200 in words is "twelve trillion, one hundred twenty-one billion, twenty-two million, twenty-one thousand, two hundred".