12011402412240 has 320 divisors, whose sum is σ = 46438587740160. Its totient is φ = 2495053393920.

The previous prime is 12011402412193. The next prime is 12011402412257. The reversal of 12011402412240 is 4221420411021.

It is a happy number.

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 12011402412240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56794372 + ... + 57005468.

It is an arithmetic number, because the mean of its divisors is an integer number (145120586688).

Almost surely, 2^{12011402412240} is an apocalyptic number.

12011402412240 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 12011402412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23219293870080).

12011402412240 is an abundant number, since it is smaller than the sum of its proper divisors (34427185327920).

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

12011402412240 is a wasteful number, since it uses less digits than its factorization.

12011402412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214210 (or 214204 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12011402412240 its reverse (4221420411021), we get a palindrome (16232822823261).

The spelling of 12011402412240 in words is "twelve trillion, eleven billion, four hundred two million, four hundred twelve thousand, two hundred forty".