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2012122012020 = 2235231917633819
BaseRepresentation
bin11101010001111011110…
…100010101100101110100
321010100122020112212100020
4131101323310111211310
5230431311213341040
64140204525445140
7265241154623001
oct35217364254564
97110566485306
102012122012020
1170637746893a
12285b677107b0
13117985a78853
146d55c78c8a8
15375172eecd0
hex1d47bd15974

2012122012020 has 96 divisors (see below), whose sum is σ = 5909675950080. Its totient is φ = 510549747840.

The previous prime is 2012122012003. The next prime is 2012122012027. The reversal of 2012122012020 is 202102212102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012122012027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3553330 + ... + 4080489.

It is an arithmetic number, because the mean of its divisors is an integer number (61559124480).

Almost surely, 22012122012020 is an apocalyptic number.

2012122012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012122012020 is an abundant number, since it is smaller than the sum of its proper divisors (3897553938060).

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

2012122012020 is a wasteful number, since it uses less digits than its factorization.

2012122012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634045 (or 7634043 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2012122012020 its reverse (202102212102), we get a palindrome (2214224224122).

The spelling of 2012122012020 in words is "two trillion, twelve billion, one hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 191 230 276 345 382 460 573 690 764 955 1146 1380 1910 2292 2865 3820 4393 5730 8786 11460 13179 17572 21965 26358 43930 52716 65895 87860 131790 263580 7633819 15267638 22901457 30535276 38169095 45802914 76338190 91605828 114507285 152676380 175577837 229014570 351155674 458029140 526733511 702311348 877889185 1053467022 1458059429 1755778370 2106934044 2633667555 2916118858 3511556740 4374178287 5267335110 5832237716 7290297145 8748356574 10534670220 14580594290 17496713148 21870891435 29161188580 33535366867 43741782870 67070733734 87483565740 100606100601 134141467468 167676834335 201212201202 335353668670 402424402404 503030503005 670707337340 1006061006010 2012122012020