12011306526240 has 384 divisors, whose sum is σ = 45836084625408. Its totient is φ = 2581020917760.

The previous prime is 12011306526229. The next prime is 12011306526251. The reversal of 12011306526240 is 4262560311021.

It is an interprime number because it is at equal distance from previous prime (12011306526229) and next prime (12011306526251).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50546905 + ... + 50783975.

It is an arithmetic number, because the mean of its divisors is an integer number (119364803712).

Almost surely, 2^{12011306526240} is an apocalyptic number.

12011306526240 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 12011306526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22918042312704).

12011306526240 is an abundant number, since it is smaller than the sum of its proper divisors (33824778099168).

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

12011306526240 is a wasteful number, since it uses less digits than its factorization.

12011306526240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238000 (or 237992 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 12011306526240 its reverse (4262560311021), we get a palindrome (16273866837261).

The spelling of 12011306526240 in words is "twelve trillion, eleven billion, three hundred six million, five hundred twenty-six thousand, two hundred forty".