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2012102022000 = 24353747907191
BaseRepresentation
bin11101010001111010101…
…000000101001101110000
321010100120211221021012010
4131101322220011031300
5230431241104201000
64140202533202520
7265240522665030
oct35217250051560
97110524837163
102012102022000
11706367155064
12285b60a90440
13117981899b35
146d559c678c0
15375156a1d50
hex1d47aa05370

2012102022000 has 160 divisors (see below), whose sum is σ = 7413733776384. Its totient is φ = 459909024000.

The previous prime is 2012102021987. The next prime is 2012102022013. The reversal of 2012102022000 is 2202012102.

It is an interprime number because it is at equal distance from previous prime (2012102021987) and next prime (2012102022013).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23911596 + ... + 23995595.

Almost surely, 22012102022000 is an apocalyptic number.

2012102022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012102022000 is an abundant number, since it is smaller than the sum of its proper divisors (5401631754384).

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

2012102022000 is a wasteful number, since it uses less digits than its factorization.

2012102022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47907224 (or 47907208 counting only the distinct ones).

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

Adding to 2012102022000 its reverse (2202012102), we get a palindrome (2014304034102).

The spelling of 2012102022000 in words is "two trillion, twelve billion, one hundred two million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 47907191 95814382 143721573 191628764 239535955 287443146 335350337 383257528 479071910 574886292 670700674 718607865 766515056 958143820 1006051011 1149772584 1197679775 1341401348 1437215730 1676751685 1916287640 2012102022 2299545168 2395359550 2682802696 2874431460 3353503370 3593039325 3832575280 4024204044 4790719100 5030255055 5365605392 5748862920 5988398875 6707006740 7186078650 8048408088 8383758425 9581438200 10060510110 11497725840 11976797750 13414013480 14372157300 16096816176 16767516850 17965196625 19162876400 20121020220 23953595500 25151275275 26828026960 28744314600 33535033700 35930393250 40242040440 41918792125 47907191000 50302550550 57488629200 67070067400 71860786500 80484080880 83837584250 95814382000 100605101100 125756376375 134140134800 143721573000 167675168500 201210202200 251512752750 287443146000 335350337000 402420404400 503025505500 670700674000 1006051011000 2012102022000