Search a number
-
+
2012011212120 = 2335713184250111
BaseRepresentation
bin11101010001110101001…
…101101010110101011000
321010100100112001122110020
4131101311031222311120
5230431044332241440
64140145530550440
7265235341060140
oct35216515526530
97110315048406
102012011212120
1170631a970278
12285b36598420
13117968b23390
146d54bb89920
153750c7153d0
hex1d47536ad58

2012011212120 has 128 divisors (see below), whose sum is σ = 7428964515840. Its totient is φ = 424512253440.

The previous prime is 2012011212089. The next prime is 2012011212137. The reversal of 2012011212120 is 212121102102.

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 2012011212120.

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, 92114136 + ... + 92135975.

It is an arithmetic number, because the mean of its divisors is an integer number (58038785280).

Almost surely, 22012011212120 is an apocalyptic number.

2012011212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012011212120 is an abundant number, since it is smaller than the sum of its proper divisors (5416953303720).

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

2012011212120 is a wasteful number, since it uses less digits than its factorization.

2012011212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184250145 (or 184250141 counting only the distinct ones).

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

Adding to 2012011212120 its reverse (212121102102), we get a palindrome (2224132314222).

The spelling of 2012011212120 in words is "two trillion, twelve billion, eleven million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 184250111 368500222 552750333 737000444 921250555 1105500666 1289750777 1474000888 1842501110 2211001332 2395251443 2579501554 2763751665 3685002220 3869252331 4422002664 4790502886 5159003108 5527503330 6448753885 7185754329 7370004440 7738504662 9581005772 10318006216 11055006660 11976257215 12897507770 14371508658 15477009324 16766760101 19162011544 19346261655 22110013320 23952514430 25795015540 28743017316 30954018648 33533520202 35928771645 38692523310 47905028860 50300280303 51590031080 57486034632 67067040404 71857543290 77385046620 83833800505 95810057720 100600560606 134134080808 143715086580 154770093240 167667601010 201201121212 251501401515 287430173160 335335202020 402402242424 503002803030 670670404040 1006005606060 2012011212120