12210012021200 has 180 divisors, whose sum is σ = 34126811365932. Its totient is φ = 4185928857600.

The previous prime is 12210012021191. The next prime is 12210012021281. The reversal of 12210012021200 is 212021001221.

It can be written as a sum of positive squares in 6 ways, for example, as 3576123052096 + 8633888969104 = 1891064^2 + 2938348^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331946810 + ... + 331983590.

Almost surely, 2^{12210012021200} is an apocalyptic number.

12210012021200 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 12210012021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063405682966).

12210012021200 is an abundant number, since it is smaller than the sum of its proper divisors (21916799344732).

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

12210012021200 is a wasteful number, since it uses less digits than its factorization.

12210012021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53750 (or 53732 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12210012021200 its reverse (212021001221), we get a palindrome (12422033022421).

The spelling of 12210012021200 in words is "twelve trillion, two hundred ten billion, twelve million, twenty-one thousand, two hundred".