12101012133200 has 120 divisors (see below), whose sum is σ = 29396482838016. Its totient is φ = 4786781760000.

The previous prime is 12101012133191. The next prime is 12101012133241. The reversal of 12101012133200 is 233121010121.

It is a super-2 number, since 2×12101012133200² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 13019990 + ... + 13918410.

Almost surely, 2^{12101012133200} is an apocalyptic number.

12101012133200 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 12101012133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14698241419008).

12101012133200 is an abundant number, since it is smaller than the sum of its proper divisors (17295470704816).

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

12101012133200 is a wasteful number, since it uses less digits than its factorization.

12101012133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898813 (or 898802 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12101012133200 its reverse (233121010121), we get a palindrome (12334133143321).

The spelling of 12101012133200 in words is "twelve trillion, one hundred one billion, twelve million, one hundred thirty-three thousand, two hundred".