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12022032120 = 2335717841879
BaseRepresentation
bin10110011001001000…
…11010011011111000
31011000211120111201220
423030210122123320
5144110120011440
65304533512040
7603626405220
oct131444323370
934024514656
1012022032120
11510a13a73a
1223b61a2620
1311978a9b97
14820915080
154a56738d0
hex2cc91a6f8

12022032120 has 128 divisors (see below), whose sum is σ = 43643059200. Its totient is φ = 2586249216.

The previous prime is 12022032107. The next prime is 12022032131. The reversal of 12022032120 is 2123022021.

It is a happy number.

12022032120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12022032120.

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 31 ways as a sum of consecutive naturals, for example, 406660 + ... + 435219.

It is an arithmetic number, because the mean of its divisors is an integer number (340961400).

Almost surely, 212022032120 is an apocalyptic number.

12022032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022032120 is an abundant number, since it is smaller than the sum of its proper divisors (31621027080).

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

12022032120 is a wasteful number, since it uses less digits than its factorization.

12022032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841917 (or 841913 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12022032120 its reverse (2123022021), we get a palindrome (14145054141).

The spelling of 12022032120 in words is "twelve billion, twenty-two million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 841879 1683758 2525637 3367516 4209395 5051274 5893153 6735032 8418790 10102548 11786306 12628185 14311943 16837580 17679459 20205096 23572612 25256370 28623886 29465765 33675160 35358918 42935829 47145224 50512740 57247772 58931530 70717836 71559715 85871658 88397295 100183601 101025480 114495544 117863060 141435672 143119430 171743316 176794590 200367202 214679145 235726120 286238860 300550803 343486632 353589180 400734404 429358290 500918005 572477720 601101606 707178360 801468808 858716580 1001836010 1202203212 1502754015 1717433160 2003672020 2404406424 3005508030 4007344040 6011016060 12022032120