12306071084440 has 64 divisors (see below), whose sum is σ = 32025438063360. Its totient is φ = 4168390335360.

The previous prime is 12306071084431. The next prime is 12306071084513. The reversal of 12306071084440 is 4448017060321.

It is a super-2 number, since 2×12306071084440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12306071084393 and 12306071084402.

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, 264737326 + ... + 264783805.

It is an arithmetic number, because the mean of its divisors is an integer number (500397469740).

Almost surely, 2^{12306071084440} is an apocalyptic number.

12306071084440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12306071084440 is an abundant number, since it is smaller than the sum of its proper divisors (19719366978920).

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

12306071084440 is a wasteful number, since it uses less digits than its factorization.

12306071084440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529521232 (or 529521228 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 12306071084440 in words is "twelve trillion, three hundred six billion, seventy-one million, eighty-four thousand, four hundred forty".