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12252401304 = 233111321012719
BaseRepresentation
bin10110110100100110…
…01100111010011000
31011121220001110211220
423122103030322120
5200043103320204
65343443252040
7612424456413
oct133223147230
934556043756
1012252401304
1152181854a0
12245b37a020
131203538200
14843360b7a
154ba9cb1d9
hex2da4cce98

12252401304 has 192 divisors, whose sum is σ = 36555494400. Its totient is φ = 3392064000.

The previous prime is 12252401303. The next prime is 12252401309. The reversal of 12252401304 is 40310425221.

12252401304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252401303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4504857 + ... + 4507575.

It is an arithmetic number, because the mean of its divisors is an integer number (190393200).

Almost surely, 212252401304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12252401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277747200).

12252401304 is an abundant number, since it is smaller than the sum of its proper divisors (24303093096).

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

12252401304 is a wasteful number, since it uses less digits than its factorization.

12252401304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12252401304 its reverse (40310425221), we get a palindrome (52562826525).

The spelling of 12252401304 in words is "twelve billion, two hundred fifty-two million, four hundred one thousand, three hundred four".