12253540440 has 128 divisors (see below), whose sum is σ = 37726456320. Its totient is φ = 3182054400.

The previous prime is 12253540427. The next prime is 12253540441. The reversal of 12253540440 is 4404535221.

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 = 12253540398 and 12253540407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253540441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3102547 + ... + 3106493.

It is an arithmetic number, because the mean of its divisors is an integer number (294737940).

Almost surely, 2^12253540440 is an apocalyptic number.

12253540440 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 12253540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18863228160).

12253540440 is an abundant number, since it is smaller than the sum of its proper divisors (25472915880).

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

12253540440 is a wasteful number, since it uses less digits than its factorization.

12253540440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 12253540440 in words is "twelve billion, two hundred fifty-three million, five hundred forty thousand, four hundred forty".