12014242240 has 224 divisors, whose sum is σ = 38412993024. Its totient is φ = 3456552960.

The previous prime is 12014242237. The next prime is 12014242271. The reversal of 12014242240 is 4224241021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 301567 + ... + 339073.

It is an arithmetic number, because the mean of its divisors is an integer number (171486576).

Almost surely, 2^12014242240 is an apocalyptic number.

12014242240 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 12014242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206496512).

12014242240 is an abundant number, since it is smaller than the sum of its proper divisors (26398750784).

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

12014242240 is a wasteful number, since it uses less digits than its factorization.

12014242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37555 (or 37545 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12014242240 its reverse (4224241021), we get a palindrome (16238483261).

The spelling of 12014242240 in words is "twelve billion, fourteen million, two hundred forty-two thousand, two hundred forty".