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12022003200 = 29352337929
BaseRepresentation
bin10110011001001000…
…10011011000000000
31011000211112001001210
423030210103120000
5144110113100300
65304533130120
7603626225004
oct131444233000
934024461053
1012022003200
11510a11aa39
1223b6189940
13119789997c
14820908704
154a566a050
hex2cc913600

12022003200 has 240 divisors, whose sum is σ = 39874657680. Its totient is φ = 3192913920.

The previous prime is 12022003199. The next prime is 12022003243. The reversal of 12022003200 is 230022021.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12940336 + ... + 12941264.

It is an arithmetic number, because the mean of its divisors is an integer number (166144407).

Almost surely, 212022003200 is an apocalyptic number.

12022003200 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 12022003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19937328840).

12022003200 is an abundant number, since it is smaller than the sum of its proper divisors (27852654480).

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

12022003200 is an equidigital number, since it uses as much as digits as its factorization.

12022003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1276 counting only the distinct ones).

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

Adding to 12022003200 its reverse (230022021), we get a palindrome (12252025221).

The spelling of 12022003200 in words is "twelve billion, twenty-two million, three thousand, two hundred".