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12002022000120 = 2335264737784983
BaseRepresentation
bin1010111010100111000001…
…0000100000010111111000
31120111101022112211100111210
42232221300100200113320
53033120120113000440
641305353000323120
72346055202513415
oct256516020402770
946441275740453
1012002022000120
113908035588489
12141a0a4a734a0
13690a2a59a869
142d6c8836310c
1515c3006cba80
hexaea704205f8

12002022000120 has 64 divisors (see below), whose sum is σ = 36019669547520. Its totient is φ = 3199329995904.

The previous prime is 12002022000079. The next prime is 12002022000127. The reversal of 12002022000120 is 2100022020021.

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 = 12002022000096 and 12002022000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002022000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18574852 + ... + 19210131.

It is an arithmetic number, because the mean of its divisors is an integer number (562807336680).

Almost surely, 212002022000120 is an apocalyptic number.

12002022000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002022000120 is an abundant number, since it is smaller than the sum of its proper divisors (24017647547400).

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

12002022000120 is a wasteful number, since it uses less digits than its factorization.

12002022000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37787644 (or 37787640 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002022000120 its reverse (2100022020021), we get a palindrome (14102044020141).

The spelling of 12002022000120 in words is "twelve trillion, two billion, twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2647 5294 7941 10588 13235 15882 21176 26470 31764 39705 52940 63528 79410 105880 158820 317640 37784983 75569966 113354949 151139932 188924915 226709898 302279864 377849830 453419796 566774745 755699660 906839592 1133549490 1511399320 2267098980 4534197960 100016850001 200033700002 300050550003 400067400004 500084250005 600101100006 800134800008 1000168500010 1200202200012 1500252750015 2000337000020 2400404400024 3000505500030 4000674000040 6001011000060 12002022000120