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12022032000 = 273531122769
BaseRepresentation
bin10110011001001000…
…11010011010000000
31011000211120111120110
423030210122122000
5144110120011000
65304533511320
7603626404656
oct131444323200
934024514513
1012022032000
11510a13a640
1223b61a2540
1311978a9b04
14820914dd6
154a5673850
hex2cc91a680

12022032000 has 256 divisors, whose sum is σ = 43477948800. Its totient is φ = 2914304000.

The previous prime is 12022031993. The next prime is 12022032017. The reversal of 12022032000 is 23022021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 516616 + ... + 539384.

Almost surely, 212022032000 is an apocalyptic number.

12022032000 is a gapful number since it is divisible by the number (10) 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 12022032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21738974400).

12022032000 is an abundant number, since it is smaller than the sum of its proper divisors (31455916800).

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

12022032000 is a wasteful number, since it uses less digits than its factorization.

12022032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22812 (or 22790 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12022032000 its reverse (23022021), we get a palindrome (12045054021).

The spelling of 12022032000 in words is "twelve billion, twenty-two million, thirty-two thousand".