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12120111221020 = 22511197936703141
BaseRepresentation
bin1011000001011110111011…
…1011001000100100011100
31120220200010101112022211221
42300113232323020210130
53042033441433033040
641435522514223124
72360435440363315
oct260275673104434
946820111468757
1012120111221020
1139531238a4a20
121438b60884aa4
1369bbc9948cba
142dc88b9d760c
15160412a4574a
hexb05eeec891c

12120111221020 has 96 divisors (see below), whose sum is σ = 29597413708800. Its totient is φ = 4122496684800.

The previous prime is 12120111221003. The next prime is 12120111221047. The reversal of 12120111221020 is 2012211102121.

12120111221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12120111220985 and 12120111221003.

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, 18021351 + ... + 18681790.

It is an arithmetic number, because the mean of its divisors is an integer number (308306392800).

Almost surely, 212120111221020 is an apocalyptic number.

12120111221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120111221020 is an abundant number, since it is smaller than the sum of its proper divisors (17477302487780).

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

12120111221020 is a wasteful number, since it uses less digits than its factorization.

12120111221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36703259 (or 36703257 counting only the distinct ones).

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

Adding to 12120111221020 its reverse (2012211102121), we get a palindrome (14132322323141).

The spelling of 12120111221020 in words is "twelve trillion, one hundred twenty billion, one hundred eleven million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 79 95 110 158 190 209 220 316 380 395 418 790 836 869 1045 1501 1580 1738 2090 3002 3476 4180 4345 6004 7505 8690 15010 16511 17380 30020 33022 66044 82555 165110 330220 36703141 73406282 146812564 183515705 367031410 403734551 697359679 734062820 807469102 1394719358 1614938204 2018672755 2789438716 2899548139 3486798395 4037345510 5799096278 6973596790 7670956469 8074691020 11598192556 13947193580 14497740695 15341912938 28995481390 30683825876 31895029529 38354782345 55091414641 57990962780 63790059058 76709564690 110182829282 127580118116 153419129380 159475147645 220365658564 275457073205 318950295290 550914146410 606005561051 637900590580 1101828292820 1212011122102 2424022244204 3030027805255 6060055610510 12120111221020