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220112221122 = 233101194920707
BaseRepresentation
bin1100110011111110110…
…1011111001111000010
3210001010222222101012000
43030333231133033002
512101242212033442
6245041304444430
721621405003123
oct3147755371702
9701128871160
10220112221122
1185392679652
12367ab179716
13179ab029131
14a92125a04a
155ad3eaad4c
hex333fb5f3c2

220112221122 has 64 divisors (see below), whose sum is σ = 494258544000. Its totient is φ = 72603518400.

The previous prime is 220112221097. The next prime is 220112221129. The reversal of 220112221122 is 221122211022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220112221095 and 220112221104.

It is not an unprimeable number, because it can be changed into a prime (220112221129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10619493 + ... + 10640199.

It is an arithmetic number, because the mean of its divisors is an integer number (7722789750).

Almost surely, 2220112221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220112221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247129272000).

220112221122 is an abundant number, since it is smaller than the sum of its proper divisors (274146322878).

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

220112221122 is a wasteful number, since it uses less digits than its factorization.

220112221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22768 (or 22762 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220112221122 its reverse (221122211022), we get a palindrome (441234432144).

The spelling of 220112221122 in words is "two hundred twenty billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 1949 2727 3898 5454 5847 11694 17541 20707 35082 41414 52623 62121 105246 124242 186363 196849 372726 393698 559089 590547 1118178 1181094 1771641 2091407 3543282 4182814 5314923 6274221 10629846 12548442 18822663 37645326 40357943 56467989 80715886 112935978 121073829 242147658 363221487 726442974 1089664461 2179328922 4076152243 8152304486 12228456729 24456913458 36685370187 73370740374 110056110561 220112221122