12248690400 has 360 divisors, whose sum is σ = 47300410080. Its totient is φ = 3073904640.

The previous prime is 12248690371. The next prime is 12248690401. The reversal of 12248690400 is 409684221.

12248690400 is a `hidden beast` number, since 1 + 2 + 248 + 6 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12248690401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1096041 + ... + 1107159.

It is an arithmetic number, because the mean of its divisors is an integer number (131390028).

Almost surely, 2^12248690400 is an apocalyptic number.

12248690400 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 12248690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23650205040).

12248690400 is an abundant number, since it is smaller than the sum of its proper divisors (35051719680).

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

12248690400 is a wasteful number, since it uses less digits than its factorization.

12248690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168 (or 11146 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12248690400 in words is "twelve billion, two hundred forty-eight million, six hundred ninety thousand, four hundred".