12046111440 has 240 divisors, whose sum is σ = 42373621248. Its totient is φ = 2825856000.

The previous prime is 12046111439. The next prime is 12046111487. The reversal of 12046111440 is 4411164021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12046111440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893550 + ... + 906930.

Almost surely, 2^12046111440 is an apocalyptic number.

12046111440 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 12046111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21186810624).

12046111440 is an abundant number, since it is smaller than the sum of its proper divisors (30327509808).

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

12046111440 is a wasteful number, since it uses less digits than its factorization.

12046111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13450 (or 13433 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12046111440 its reverse (4411164021), we get a palindrome (16457275461).

The spelling of 12046111440 in words is "twelve billion, forty-six million, one hundred eleven thousand, four hundred forty".