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12100110222020 = 22543471991504319
BaseRepresentation
bin1011000000010100011011…
…0001011000001011000100
31120211202111111010022020012
42300011012301120023010
53041222011204101040
641422414111325352
72356130003606012
oct260050661301304
946752444108205
1012100110222020
11394569a853387
1214350ba520858
1369a05ccb1752
142db9115318b2
1515eb41b7d865
hexb0146c582c4

12100110222020 has 96 divisors (see below), whose sum is σ = 26687840256000. Its totient is φ = 4603646323584.

The previous prime is 12100110222019. The next prime is 12100110222049. The reversal of 12100110222020 is 2022201100121.

It is a junction number, because it is equal to n+sod(n) for n = 12100110221986 and 12100110222004.

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, 7291421 + ... + 8795739.

It is an arithmetic number, because the mean of its divisors is an integer number (277998336000).

Almost surely, 212100110222020 is an apocalyptic number.

12100110222020 is a gapful number since it is divisible by the number (10) 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 12100110222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343920128000).

12100110222020 is an abundant number, since it is smaller than the sum of its proper divisors (14587730033980).

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

12100110222020 is a wasteful number, since it uses less digits than its factorization.

12100110222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504617 (or 1504615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12100110222020 its reverse (2022201100121), we get a palindrome (14122311322141).

The spelling of 12100110222020 in words is "twelve trillion, one hundred billion, one hundred ten million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 43 47 86 94 172 188 199 215 235 398 430 470 796 860 940 995 1990 2021 3980 4042 8084 8557 9353 10105 17114 18706 20210 34228 37412 40420 42785 46765 85570 93530 171140 187060 402179 804358 1504319 1608716 2010895 3008638 4021790 6017276 7521595 8043580 15043190 30086380 64685717 70702993 129371434 141405986 258742868 282811972 299359481 323428585 353514965 598718962 646857170 707029930 1197437924 1293714340 1414059860 1496797405 2993594810 3040228699 5987189620 6080457398 12160914796 12872457683 14069895607 15201143495 25744915366 28139791214 30402286990 51489830732 56279582428 60804573980 64362288415 70349478035 128724576830 140698956070 257449153660 281397912140 605005511101 1210011022202 2420022044404 3025027555505 6050055111010 12100110222020