12273930240 has 624 divisors, whose sum is σ = 46853044224. Its totient is φ = 2724986880.

The previous prime is 12273930187. The next prime is 12273930241. The reversal of 12273930240 is 4203937221.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12273930241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96645057 + ... + 96645183.

Almost surely, 2^12273930240 is an apocalyptic number.

12273930240 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 12273930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426522112).

12273930240 is an abundant number, since it is smaller than the sum of its proper divisors (34579113984).

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

12273930240 is a wasteful number, since it uses less digits than its factorization.

12273930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 12273930240 in words is "twelve billion, two hundred seventy-three million, nine hundred thirty thousand, two hundred forty".