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12022230000 = 2435411172143
BaseRepresentation
bin10110011001001010…
…01010101111110000
31011000211221120011210
423030211022233300
5144110142330000
65304542040120
7603631161144
oct131445125760
934024846153
1012022230000
11510a265380
1223b6279040
131197948c81
14820967224
154a56b2350
hex2cc94abf0

12022230000 has 400 divisors, whose sum is σ = 44848843776. Its totient is φ = 2741760000.

The previous prime is 12022229981. The next prime is 12022230041. The reversal of 12022230000 is 3222021.

12022230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5608929 + ... + 5611071.

Almost surely, 212022230000 is an apocalyptic number.

12022230000 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 12022230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22424421888).

12022230000 is an abundant number, since it is smaller than the sum of its proper divisors (32826613776).

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

12022230000 is a wasteful number, since it uses less digits than its factorization.

12022230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2181 counting only the distinct ones).

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

Adding to 12022230000 its reverse (3222021), we get a palindrome (12025452021).

The spelling of 12022230000 in words is "twelve billion, twenty-two million, two hundred thirty thousand".