12011253760 has 312 divisors, whose sum is σ = 32786672688. Its totient is φ = 4217241600.

The previous prime is 12011253743. The next prime is 12011253799. The reversal of 12011253760 is 6735211021.

It is a happy number.

It is a super-2 number, since 2×12011253760² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91688895 + ... + 91689025.

Almost surely, 2^12011253760 is an apocalyptic number.

12011253760 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 12011253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393336344).

12011253760 is an abundant number, since it is smaller than the sum of its proper divisors (20775418928).

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

12011253760 is a wasteful number, since it uses less digits than its factorization.

12011253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 12011253760 its reverse (6735211021), we get a palindrome (18746464781).

The spelling of 12011253760 in words is "twelve billion, eleven million, two hundred fifty-three thousand, seven hundred sixty".