12990150144 has 200 divisors, whose sum is σ = 38961937080. Its totient is φ = 4326690816.

The previous prime is 12990150113. The next prime is 12990150161. The reversal of 12990150144 is 44105109921.

It is a happy number.

12990150144 is a `hidden beast` number, since 1 + 29 + 90 + 1 + 501 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12990150099 and 12990150108.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 10077052 + ... + 10078340.

Almost surely, 2^12990150144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12990150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19480968540).

12990150144 is an abundant number, since it is smaller than the sum of its proper divisors (25971786936).

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

12990150144 is an frugal number, since it uses more digits than its factorization.

12990150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12990150144 in words is "twelve billion, nine hundred ninety million, one hundred fifty thousand, one hundred forty-four".