12101001211200 has 336 divisors, whose sum is σ = 43346872676160. Its totient is φ = 2931118080000.

The previous prime is 12101001211183. The next prime is 12101001211207. The reversal of 12101001211200 is 211210010121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101001211207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63317386 + ... + 63508214.

Almost surely, 2^{12101001211200} is an apocalyptic number.

12101001211200 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 12101001211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21673436338080).

12101001211200 is an abundant number, since it is smaller than the sum of its proper divisors (31245871464960).

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

12101001211200 is a wasteful number, since it uses less digits than its factorization.

12101001211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192066 (or 192051 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101001211200 its reverse (211210010121), we get a palindrome (12312211221321).

The spelling of 12101001211200 in words is "twelve trillion, one hundred one billion, one million, two hundred eleven thousand, two hundred".