12121313011200 has 180 divisors, whose sum is σ = 43378833691908. Its totient is φ = 3232350105600.

The previous prime is 12121313011183. The next prime is 12121313011217. The reversal of 12121313011200 is 211031312121.

12121313011200 is a `hidden beast` number, since 1 + 212 + 1 + 31 + 301 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12121313011183) and next prime (12121313011217).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×12121313011200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52494666 + ... + 52725065.

Almost surely, 2^{12121313011200} is an apocalyptic number.

12121313011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121313011200 is an abundant number, since it is smaller than the sum of its proper divisors (31257520680708).

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

12121313011200 is a wasteful number, since it uses less digits than its factorization.

12121313011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105219765 (or 105219741 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12121313011200 its reverse (211031312121), we get a palindrome (12332344323321).

The spelling of 12121313011200 in words is "twelve trillion, one hundred twenty-one billion, three hundred thirteen million, eleven thousand, two hundred".