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12242021232 = 2437317191229
BaseRepresentation
bin10110110011010111…
…00110101101110000
31011121011112010001210
423121223212231300
5200032424134412
65342433000120
7612240315000
oct133153465560
934534463053
1012242021232
115212335821
1224579b3040
13120134265c
14841c1c000
154b9b2a83c
hex2d9ae6b70

12242021232 has 320 divisors, whose sum is σ = 39426048000. Its totient is φ = 3260436480.

The previous prime is 12242021201. The next prime is 12242021251. The reversal of 12242021232 is 23212024221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12242021199 and 12242021208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53458494 + ... + 53458722.

It is an arithmetic number, because the mean of its divisors is an integer number (123206400).

Almost surely, 212242021232 is an apocalyptic number.

12242021232 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 12242021232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713024000).

12242021232 is an abundant number, since it is smaller than the sum of its proper divisors (27184026768).

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

12242021232 is a wasteful number, since it uses less digits than its factorization.

12242021232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12242021232 its reverse (23212024221), we get a palindrome (35454045453).

The spelling of 12242021232 in words is "twelve billion, two hundred forty-two million, twenty-one thousand, two hundred thirty-two".