12121313020200 has 288 divisors, whose sum is σ = 42221569979160. Its totient is φ = 3113849088000.

The previous prime is 12121313020169. The next prime is 12121313020207. The reversal of 12121313020200 is 202031312121.

12121313020200 is a `hidden beast` number, since 1 + 212 + 131 + 302 + 0 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3553503985476 + 8567809034724 = 1885074^2 + 2927082^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12121313020207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5825602 + ... + 7627598.

Almost surely, 2^{12121313020200} is an apocalyptic number.

12121313020200 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 12121313020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21110784989580).

12121313020200 is an abundant number, since it is smaller than the sum of its proper divisors (30100256958960).

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

12121313020200 is a wasteful number, since it uses less digits than its factorization.

12121313020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802157 (or 1802145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12121313020200 its reverse (202031312121), we get a palindrome (12323344332321).

The spelling of 12121313020200 in words is "twelve trillion, one hundred twenty-one billion, three hundred thirteen million, twenty thousand, two hundred".