12101011200 has 648 divisors, whose sum is σ = 46498023936. Its totient is φ = 3110400000.

The previous prime is 12101011199. The next prime is 12101011207. The reversal of 12101011200 is 211010121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48211075 + ... + 48211325.

Almost surely, 2^12101011200 is an apocalyptic number.

12101011200 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 12101011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23249011968).

12101011200 is an abundant number, since it is smaller than the sum of its proper divisors (34397012736).

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

12101011200 is an equidigital number, since it uses as much as digits as its factorization.

12101011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12101011200 its reverse (211010121), we get a palindrome (12312021321).

The spelling of 12101011200 in words is "twelve billion, one hundred one million, eleven thousand, two hundred".