12263727040 has 112 divisors (see below), whose sum is σ = 29587972320. Its totient is φ = 4841164800.

The previous prime is 12263726999. The next prime is 12263727163. The reversal of 12263727040 is 4072736221.

It is a super-3 number, since 3×12263727040³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12263726987 and 12263727005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19811851 + ... + 19812469.

Almost surely, 2^12263727040 is an apocalyptic number.

12263727040 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 12263727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793986160).

12263727040 is an abundant number, since it is smaller than the sum of its proper divisors (17324245280).

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

12263727040 is a wasteful number, since it uses less digits than its factorization.

12263727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 12263727040 in words is "twelve billion, two hundred sixty-three million, seven hundred twenty-seven thousand, forty".