12661219200 has 384 divisors, whose sum is σ = 50468555520. Its totient is φ = 2723512320.

The previous prime is 12661219189. The next prime is 12661219211. The reversal of 12661219200 is 291216621.

It is an interprime number because it is at equal distance from previous prime (12661219189) and next prime (12661219211).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1136859 + ... + 1147941.

It is an arithmetic number, because the mean of its divisors is an integer number (131428530).

Almost surely, 2^12661219200 is an apocalyptic number.

12661219200 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 12661219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25234277760).

12661219200 is an abundant number, since it is smaller than the sum of its proper divisors (37807336320).

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

12661219200 is a wasteful number, since it uses less digits than its factorization.

12661219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11134 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 12661219200 in words is "twelve billion, six hundred sixty-one million, two hundred nineteen thousand, two hundred".