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12252123288 = 233356722793
BaseRepresentation
bin10110110100100100…
…01001000010011000
31011121212112100111000
423122102021002120
5200043020421123
65343433305000
7612422221026
oct133222110230
934555470430
1012252123288
115218005629
12245b265160
13120346b7c2
148432cb716
154ba973b43
hex2da489098

12252123288 has 32 divisors (see below), whose sum is σ = 34033676400. Its totient is φ = 4084041024.

The previous prime is 12252123287. The next prime is 12252123347. The reversal of 12252123288 is 88232125221.

12252123288 is a `hidden beast` number, since 1 + 2 + 252 + 123 + 288 = 666.

It is a super-2 number, since 2×122521232882 (a number of 21 digits) contains 22 as substring.

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 (12252123287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28361181 + ... + 28361612.

Almost surely, 212252123288 is an apocalyptic number.

12252123288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12252123288 is an abundant number, since it is smaller than the sum of its proper divisors (21781553112).

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

12252123288 is a wasteful number, since it uses less digits than its factorization.

12252123288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56722808 (or 56722798 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The spelling of 12252123288 in words is "twelve billion, two hundred fifty-two million, one hundred twenty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 56722793 113445586 170168379 226891172 340336758 453782344 510505137 680673516 1021010274 1361347032 1531515411 2042020548 3063030822 4084041096 6126061644 12252123288