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12293229312 = 2832713173449
BaseRepresentation
bin10110111001011101…
…11100101100000000
31011201201212202100100
423130232330230000
5200134031314222
65351502322400
7613431503460
oct133456745400
934651782310
1012293229312
115239231151
122470b89400
13120bb318b0
1484894bba0
154be3934ac
hex2dcbbcb00

12293229312 has 432 divisors, whose sum is σ = 46203393600. Its totient is φ = 3050569728.

The previous prime is 12293229283. The next prime is 12293229341. The reversal of 12293229312 is 21392239221.

12293229312 is a `hidden beast` number, since 12 + 2 + 9 + 322 + 9 + 312 = 666.

12293229312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12293229283) and next prime (12293229341).

It is a super-2 number, since 2×122932293122 (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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 3562564 + ... + 3566012.

It is an arithmetic number, because the mean of its divisors is an integer number (106952300).

Almost surely, 212293229312 is an apocalyptic number.

12293229312 is a gapful number since it is divisible by the number (12) 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 12293229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23101696800).

12293229312 is an abundant number, since it is smaller than the sum of its proper divisors (33910164288).

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

12293229312 is a wasteful number, since it uses less digits than its factorization.

12293229312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3491 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

Subtracting 12293229312 from its reverse (21392239221), we obtain a palindrome (9099009909).

The spelling of 12293229312 in words is "twelve billion, two hundred ninety-three million, two hundred twenty-nine thousand, three hundred twelve".