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2012021112120 = 2335241102168141
BaseRepresentation
bin11101010001110101110…
…011011011110100111000
321010100101012200121200220
4131101311303123310320
5230431104401041440
64140150523100040
7265235521162125
oct35216563336470
97110335617626
102012021112120
11706325512298
12285b39971620
1311796abab576
146d54d20574c
153750d51d8d0
hex1d475cdbd38

2012021112120 has 128 divisors (see below), whose sum is σ = 6067134722880. Its totient is φ = 533781504000.

The previous prime is 2012021112083. The next prime is 2012021112181. The reversal of 2012021112120 is 212111202102.

It is a super-2 number, since 2×20120211121202 (a number of 25 digits) contains 22 as substring.

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 2012021112120.

It is a congruent number.

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, 29493250 + ... + 29561390.

Almost surely, 22012021112120 is an apocalyptic number.

2012021112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012021112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033567361440).

2012021112120 is an abundant number, since it is smaller than the sum of its proper divisors (4055113610760).

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

2012021112120 is a wasteful number, since it uses less digits than its factorization.

2012021112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69417 (or 69413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2012021112120 its reverse (212111202102), we get a palindrome (2224132314222).

The spelling of 2012021112120 in words is "two trillion, twelve billion, twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1021 1205 1446 1928 2042 2410 2892 3063 3615 4084 4820 5105 5784 6126 7230 8168 9640 10210 12252 14460 15315 20420 24504 28920 30630 40840 61260 68141 122520 136282 204423 246061 272564 340705 408846 492122 545128 681410 738183 817692 984244 1022115 1230305 1362820 1476366 1635384 1968488 2044230 2460610 2725640 2952732 3690915 4088460 4921220 5905464 7381830 8176920 9842440 14763660 16421981 29527320 32843962 49265943 65687924 69571961 82109905 98531886 131375848 139143922 164219810 197063772 208715883 246329715 278287844 328439620 347859805 394127544 417431766 492659430 556575688 656879240 695719610 834863532 985318860 1043579415 1391439220 1669727064 1970637720 2087158830 2782878440 4174317660 8348635320 16766842601 33533685202 50300527803 67067370404 83834213005 100601055606 134134740808 167668426010 201202111212 251502639015 335336852020 402404222424 503005278030 670673704040 1006010556060 2012021112120