12402294240 has 384 divisors, whose sum is σ = 47577922560. Its totient is φ = 2650963968.

The previous prime is 12402294211. The next prime is 12402294253. The reversal of 12402294240 is 4249220421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12402294198 and 12402294207.

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, 10223874 + ... + 10225086.

It is an arithmetic number, because the mean of its divisors is an integer number (123900840).

Almost surely, 2^12402294240 is an apocalyptic number.

12402294240 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 12402294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23788961280).

12402294240 is an abundant number, since it is smaller than the sum of its proper divisors (35175628320).

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

12402294240 is a wasteful number, since it uses less digits than its factorization.

12402294240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 12402294240 in words is "twelve billion, four hundred two million, two hundred ninety-four thousand, two hundred forty".