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2012111211220 = 2251123523375989
BaseRepresentation
bin11101010001111011001…
…011001000101011010100
321010100121111020010102121
4131101323023020223110
5230431300432224340
64140203502145324
7265240664046535
oct35217313105324
97110544203377
102012111211220
11706371361060
12285b63b82244
13117983766646
146d55b17a68c
15375163b994a
hex1d47b2c8ad4

2012111211220 has 96 divisors (see below), whose sum is σ = 4810962159360. Its totient is φ = 699721820160.

The previous prime is 2012111211199. The next prime is 2012111211251. The reversal of 2012111211220 is 221121112102.

It is a junction number, because it is equal to n+sod(n) for n = 2012111211194 and 2012111211203.

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, 26440986 + ... + 26516974.

It is an arithmetic number, because the mean of its divisors is an integer number (50114189160).

Almost surely, 22012111211220 is an apocalyptic number.

2012111211220 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 2012111211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405481079680).

2012111211220 is an abundant number, since it is smaller than the sum of its proper divisors (2798850948140).

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

2012111211220 is a wasteful number, since it uses less digits than its factorization.

2012111211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81265 (or 81263 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2012111211220 its reverse (221121112102), we get a palindrome (2233232323322).

The spelling of 2012111211220 in words is "two trillion, twelve billion, one hundred eleven million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 5233 10466 20932 26165 52330 57563 75989 104660 115126 120359 151978 230252 240718 287815 303956 379945 481436 575630 601795 759890 835879 1151260 1203590 1323949 1519780 1671758 1747747 2407180 2647898 3343516 3495494 4179395 5295796 6619745 6990988 8358790 8738735 13239490 16717580 17477470 19225217 26478980 34954940 38450434 76900868 96126085 192252170 384504340 397650437 795300874 1590601748 1988252185 3976504370 4374154807 7953008740 8748309614 9145960051 17496619228 18291920102 21870774035 36583840204 43741548070 45729800255 87483096140 91459600510 100605560561 182919201020 201211121122 402422242244 503027802805 1006055605610 2012111211220