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112321012122 = 23411209930029
BaseRepresentation
bin110100010011011011…
…0101010000110011010
3101201220211210121110000
41220212312222012122
53320013134341442
6123333301033430
711054263564434
oct1504666520632
9351824717400
10112321012122
11436a9312950
12199280b5876
13a79031b067
145617561654
152dc5c69d4c
hex1a26daa19a

112321012122 has 80 divisors (see below), whose sum is σ = 274702428000. Its totient is φ = 34019321760.

The previous prime is 112321012117. The next prime is 112321012127. The reversal of 112321012122 is 221210123211.

It is an interprime number because it is at equal distance from previous prime (112321012117) and next prime (112321012127).

It is a super-2 number, since 2×1123210121222 (a number of 23 digits) contains 22 as substring.

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 = 112321012095 and 112321012104.

It is not an unprimeable number, because it can be changed into a prime (112321012127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3725404 + ... + 3755432.

It is an arithmetic number, because the mean of its divisors is an integer number (3433780350).

Almost surely, 2112321012122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112321012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137351214000).

112321012122 is an abundant number, since it is smaller than the sum of its proper divisors (162381415878).

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

112321012122 is a wasteful number, since it uses less digits than its factorization.

112321012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32153 (or 32144 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112321012122 its reverse (221210123211), we get a palindrome (333531135333).

The spelling of 112321012122 in words is "one hundred twelve billion, three hundred twenty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 2099 4198 6297 12594 18891 23089 30029 37782 46178 56673 60058 69267 90087 113346 138534 170019 180174 207801 270261 330319 340038 415602 540522 623403 660638 810783 990957 1246806 1621566 1870209 1981914 2432349 2972871 3740418 4864698 5945742 8918613 17837226 26755839 53511678 63030871 126061742 189092613 378185226 567277839 693339581 1134555678 1386679162 1701833517 2080018743 3403667034 4160037486 5105500551 6240056229 10211001102 12480112458 18720168687 37440337374 56160506061 112321012122