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12022054000 = 2453112321033
BaseRepresentation
bin10110011001001000…
…11111110001110000
31011000211121121202021
423030210133301300
5144110121212000
65304534201224
7603626526055
oct131444376160
934024547667
1012022054000
11510a155120
1223b61b3214
1311978b6b28
1482091d02c
154a567a11a
hex2cc91fc70

12022054000 has 240 divisors, whose sum is σ = 33182813664. Its totient is φ = 4177536000.

The previous prime is 12022053991. The next prime is 12022054019. The reversal of 12022054000 is 45022021.

12022054000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 47 ways as a sum of consecutive naturals, for example, 11637484 + ... + 11638516.

Almost surely, 212022054000 is an apocalyptic number.

12022054000 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 12022054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16591406832).

12022054000 is an abundant number, since it is smaller than the sum of its proper divisors (21160759664).

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

12022054000 is a wasteful number, since it uses less digits than its factorization.

12022054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 12022054000 its reverse (45022021), we get a palindrome (12067076021).

The spelling of 12022054000 in words is "twelve billion, twenty-two million, fifty-four thousand".