Search a number
-
+
12112210120100 = 22524717551146833
BaseRepresentation
bin1011000001000001011111…
…1110110100110110100100
31120212220201202012210222112
42300100113332310312210
53041421301242320400
641432134510220152
72360035600211546
oct260202776646644
946786652183875
1012112210120100
11394a839936952
1214375167b4658
1369b23aa5255c
142dc33c515696
151600ee083835
hexb0417fb4da4

12112210120100 has 72 divisors (see below), whose sum is σ = 26844431513088. Its totient is φ = 4741498944000.

The previous prime is 12112210119931. The next prime is 12112210120139. The reversal of 12112210120100 is 102101221121.

12112210120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82416284 + ... + 82563116.

Almost surely, 212112210120100 is an apocalyptic number.

12112210120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112210120100 is an abundant number, since it is smaller than the sum of its proper divisors (14732221392988).

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

12112210120100 is a wasteful number, since it uses less digits than its factorization.

12112210120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164445 (or 164438 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12112210120100 its reverse (102101221121), we get a palindrome (12214311341221).

The spelling of 12112210120100 in words is "twelve trillion, one hundred twelve billion, two hundred ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 17551 35102 70204 87755 146833 175510 293666 351020 438775 587332 734165 824897 877550 1468330 1649794 1755100 2936660 3299588 3670825 4124485 6901151 7341650 8248970 13802302 14683300 16497940 20622425 27604604 34505755 41244850 69011510 82489700 138023020 172528775 345057550 690115100 2577065983 5154131966 10308263932 12885329915 25770659830 51541319660 64426649575 121122101201 128853299150 242244202402 257706598300 484488404804 605610506005 1211221012010 2422442024020 3028052530025 6056105060050 12112210120100