12263449120 has 288 divisors, whose sum is σ = 34624412928. Its totient is φ = 4071800832.

The previous prime is 12263449087. The next prime is 12263449141. The reversal of 12263449120 is 2194436221.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13825317 + ... + 13826203.

It is an arithmetic number, because the mean of its divisors is an integer number (120223656).

Almost surely, 2^12263449120 is an apocalyptic number.

12263449120 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 12263449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17312206464).

12263449120 is an abundant number, since it is smaller than the sum of its proper divisors (22360963808).

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

12263449120 is a wasteful number, since it uses less digits than its factorization.

12263449120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 12263449120 in words is "twelve billion, two hundred sixty-three million, four hundred forty-nine thousand, one hundred twenty".