12990067200 has 1200 divisors, whose sum is σ = 56361865824. Its totient is φ = 2919628800.

The previous prime is 12990067199. The next prime is 12990067201. The reversal of 12990067200 is 276009921.

It is an interprime number because it is at equal distance from previous prime (12990067199) and next prime (12990067201).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12990067201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 193881567 + ... + 193881633.

Almost surely, 2^12990067200 is an apocalyptic number.

12990067200 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 12990067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28180932912).

12990067200 is an abundant number, since it is smaller than the sum of its proper divisors (43371798624).

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

12990067200 is a wasteful number, since it uses less digits than its factorization.

12990067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12990067200 in words is "twelve billion, nine hundred ninety million, sixty-seven thousand, two hundred".