12106040544 has 288 divisors, whose sum is σ = 40491692640. Its totient is φ = 3505102848.

The previous prime is 12106040543. The next prime is 12106040579. The reversal of 12106040544 is 44504060121.

12106040544 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 604 + 0 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106040543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2479834 + ... + 2484710.

It is an arithmetic number, because the mean of its divisors is an integer number (140596155).

Almost surely, 2^12106040544 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 12106040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245846320).

12106040544 is an abundant number, since it is smaller than the sum of its proper divisors (28385652096).

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

12106040544 is a wasteful number, since it uses less digits than its factorization.

12106040544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

It can be divided in two parts, 121060 and 40544, that added together give a square (161604 = 402²).

The spelling of 12106040544 in words is "twelve billion, one hundred six million, forty thousand, five hundred forty-four".