12122100021200 has 240 divisors, whose sum is σ = 31815625805040. Its totient is φ = 4411771453440.

The previous prime is 12122100021197. The next prime is 12122100021233. The reversal of 12122100021200 is 212000122121.

It can be written as a sum of positive squares in 24 ways, for example, as 10978380996496 + 1143719024704 = 3313364^2 + 1069448^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109336994 + ... + 109447806.

It is an arithmetic number, because the mean of its divisors is an integer number (132565107521).

Almost surely, 2^{12122100021200} is an apocalyptic number.

12122100021200 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 12122100021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907812902520).

12122100021200 is an abundant number, since it is smaller than the sum of its proper divisors (19693525783840).

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

12122100021200 is a wasteful number, since it uses less digits than its factorization.

12122100021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111146 (or 111135 counting only the distinct ones).

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

Adding to 12122100021200 its reverse (212000122121), we get a palindrome (12334100143321).

The spelling of 12122100021200 in words is "twelve trillion, one hundred twenty-two billion, one hundred million, twenty-one thousand, two hundred".