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12202023312 = 243243101109179
BaseRepresentation
bin10110101110100110…
…00001100110010000
31011111101021000020100
423113103001212100
5144442204221222
65334443412400
7611243325663
oct132723014620
934441230210
1012202023312
1151a17a6796
122446524100
1311c5c79a4b
1483a7a96da
154b63794ac
hex2d74c1990

12202023312 has 240 divisors, whose sum is σ = 35811547200. Its totient is φ = 3875558400.

The previous prime is 12202023311. The next prime is 12202023313. The reversal of 12202023312 is 21332020221.

It is an interprime number because it is at equal distance from previous prime (12202023311) and next prime (12202023313).

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

It is not an unprimeable number, because it can be changed into a prime (12202023311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68167639 + ... + 68167817.

It is an arithmetic number, because the mean of its divisors is an integer number (149214780).

Almost surely, 212202023312 is an apocalyptic number.

12202023312 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 12202023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17905773600).

12202023312 is an abundant number, since it is smaller than the sum of its proper divisors (23609523888).

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

12202023312 is a wasteful number, since it uses less digits than its factorization.

12202023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12202023312 its reverse (21332020221), we get a palindrome (33534043533).

The spelling of 12202023312 in words is "twelve billion, two hundred two million, twenty-three thousand, three hundred twelve".