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12001122120 = 23351317452531
BaseRepresentation
bin10110010110101001…
…01001011101001000
31010222101020011121110
423023110221131020
5144034241401440
65302505410320
7603253566141
oct131324513510
933871204543
1012001122120
1150a9358749
1223ab1999a0
1311934684c0
1481bc30ac8
154a38e3080
hex2cb529748

12001122120 has 128 divisors (see below), whose sum is σ = 41053703040. Its totient is φ = 2780344320.

The previous prime is 12001122097. The next prime is 12001122143. The reversal of 12001122120 is 2122110021.

It is an interprime number because it is at equal distance from previous prime (12001122097) and next prime (12001122143).

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 = 12001122096 and 12001122105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199746 + ... + 252785.

It is an arithmetic number, because the mean of its divisors is an integer number (320732055).

Almost surely, 212001122120 is an apocalyptic number.

12001122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001122120 is an abundant number, since it is smaller than the sum of its proper divisors (29052580920).

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

12001122120 is a wasteful number, since it uses less digits than its factorization.

12001122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452575 (or 452571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001122120 its reverse (2122110021), we get a palindrome (14123232141).

The spelling of 12001122120 in words is "twelve billion, one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 5304 6630 8840 13260 26520 452531 905062 1357593 1810124 2262655 2715186 3620248 4525310 5430372 5882903 6787965 7693027 9050620 10860744 11765806 13575930 15386054 17648709 18101240 23079081 23531612 27151860 29414515 30772108 35297418 38465135 46158162 47063224 54303720 58829030 61544216 70594836 76930270 88243545 92316324 100009351 115395405 117658060 141189672 153860540 176487090 184632648 200018702 230790810 235316120 300028053 307721080 352974180 400037404 461581620 500046755 600056106 705948360 800074808 923163240 1000093510 1200112212 1500140265 2000187020 2400224424 3000280530 4000374040 6000561060 12001122120