12267819900 has 576 divisors, whose sum is σ = 47306972160. Its totient is φ = 2668723200.

The previous prime is 12267819887. The next prime is 12267819901. The reversal of 12267819900 is 991876221.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12267819901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37062735 + ... + 37063065.

It is an arithmetic number, because the mean of its divisors is an integer number (82130160).

Almost surely, 2^12267819900 is an apocalyptic number.

12267819900 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 12267819900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23653486080).

12267819900 is an abundant number, since it is smaller than the sum of its proper divisors (35039152260).

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

12267819900 is a wasteful number, since it uses less digits than its factorization.

12267819900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12267819900 in words is "twelve billion, two hundred sixty-seven million, eight hundred nineteen thousand, nine hundred".