12611094144 has 256 divisors, whose sum is σ = 37671782400. Its totient is φ = 3705200640.

The previous prime is 12611094131. The next prime is 12611094157. The reversal of 12611094144 is 44149011621.

It is an interprime number because it is at equal distance from previous prime (12611094131) and next prime (12611094157).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27595164 + ... + 27595620.

It is an arithmetic number, because the mean of its divisors is an integer number (147155400).

Almost surely, 2^12611094144 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 12611094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18835891200).

12611094144 is an abundant number, since it is smaller than the sum of its proper divisors (25060688256).

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

12611094144 is a wasteful number, since it uses less digits than its factorization.

12611094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 12611094144 in words is "twelve billion, six hundred eleven million, ninety-four thousand, one hundred forty-four".