12127933440 has 704 divisors, whose sum is σ = 50181304320. Its totient is φ = 2720563200.

The previous prime is 12127933427. The next prime is 12127933451. The reversal of 12127933440 is 4433972121.

It is a happy number.

12127933440 is a `hidden beast` number, since 1 + 2 + 127 + 93 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12127933395 and 12127933404.

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, 80317365 + ... + 80317515.

Almost surely, 2^12127933440 is an apocalyptic number.

12127933440 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 12127933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090652160).

12127933440 is an abundant number, since it is smaller than the sum of its proper divisors (38053370880).

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

12127933440 is a wasteful number, since it uses less digits than its factorization.

12127933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12127933440 in words is "twelve billion, one hundred twenty-seven million, nine hundred thirty-three thousand, four hundred forty".