12294120240 has 480 divisors, whose sum is σ = 45251032320. Its totient is φ = 2980509696.

The previous prime is 12294120229. The next prime is 12294120257. The reversal of 12294120240 is 4202149221.

12294120240 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 412 + 0 + 240 = 666.

It is a super-2 number, since 2×12294120240² (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 95 ways as a sum of consecutive naturals, for example, 54159007 + ... + 54159233.

It is an arithmetic number, because the mean of its divisors is an integer number (94272984).

Almost surely, 2^12294120240 is an apocalyptic number.

12294120240 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 12294120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22625516160).

12294120240 is an abundant number, since it is smaller than the sum of its proper divisors (32956912080).

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

12294120240 is a wasteful number, since it uses less digits than its factorization.

12294120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12294120240 its reverse (4202149221), we get a palindrome (16496269461).

The spelling of 12294120240 in words is "twelve billion, two hundred ninety-four million, one hundred twenty thousand, two hundred forty".