12253010400 has 576 divisors, whose sum is σ = 47396966400. Its totient is φ = 3048192000.

The previous prime is 12253010387. The next prime is 12253010443. The reversal of 12253010400 is 401035221.

12253010400 is a `hidden beast` number, since 1 + 2 + 253 + 0 + 10 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 19418085 + ... + 19418715.

It is an arithmetic number, because the mean of its divisors is an integer number (82286400).

Almost surely, 2^12253010400 is an apocalyptic number.

12253010400 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 12253010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23698483200).

12253010400 is an abundant number, since it is smaller than the sum of its proper divisors (35143956000).

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

12253010400 is a wasteful number, since it uses less digits than its factorization.

12253010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12253010400 its reverse (401035221), we get a palindrome (12654045621).

The spelling of 12253010400 in words is "twelve billion, two hundred fifty-three million, ten thousand, four hundred".