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12022000032 = 253717889881
BaseRepresentation
bin10110011001001000…
…10010100110100000
31011000211111212201110
423030210102212200
5144110113000112
65304533103320
7603626212530
oct131444224640
934024455643
1012022000032
11510a118619
1223b6187b40
1311978983b3
148209074c0
154a566913c
hex2cc9129a0

12022000032 has 48 divisors (see below), whose sum is σ = 36066002112. Its totient is φ = 3434856960.

The previous prime is 12022000027. The next prime is 12022000049. The reversal of 12022000032 is 23000022021.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 12021999981 and 12022000017.

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 7 ways as a sum of consecutive naturals, for example, 8944269 + ... + 8945612.

It is an arithmetic number, because the mean of its divisors is an integer number (751375044).

Almost surely, 212022000032 is an apocalyptic number.

12022000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12022000032 is an abundant number, since it is smaller than the sum of its proper divisors (24044002080).

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

12022000032 is a wasteful number, since it uses less digits than its factorization.

12022000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17889901 (or 17889893 counting only the distinct ones).

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

Adding to 12022000032 its reverse (23000022021), we get a palindrome (35022022053).

The spelling of 12022000032 in words is "twelve billion, twenty-two million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 17889881 35779762 53669643 71559524 107339286 125229167 143119048 214678572 250458334 286238096 375687501 429357144 500916668 572476192 751375002 858714288 1001833336 1502750004 1717428576 2003666672 3005500008 4007333344 6011000016 12022000032