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12331442220 = 22351033675437
BaseRepresentation
bin10110111110000001…
…01110000000101100
31011211101210011121020
423133000232000230
5200223322122340
65355345334140
7614404346406
oct133700560054
934741704536
1012331442220
115258861069
122481937350
131216a20b96
1484da57b76
154c28e09d0
hex2df02e02c

12331442220 has 96 divisors (see below), whose sum is σ = 34964686848. Its totient is φ = 3246988032.

The previous prime is 12331442209. The next prime is 12331442231. The reversal of 12331442220 is 2224413321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12331442209) and next prime (12331442231).

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, 2265342 + ... + 2270778.

It is an arithmetic number, because the mean of its divisors is an integer number (364215488).

Almost surely, 212331442220 is an apocalyptic number.

12331442220 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 12331442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482343424).

12331442220 is an abundant number, since it is smaller than the sum of its proper divisors (22633244628).

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

12331442220 is a wasteful number, since it uses less digits than its factorization.

12331442220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12331442220 its reverse (2224413321), we get a palindrome (14555855541).

The spelling of 12331442220 in words is "twelve billion, three hundred thirty-one million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 367 412 515 618 734 1030 1101 1236 1468 1545 1835 2060 2202 3090 3670 4404 5437 5505 6180 7340 10874 11010 16311 21748 22020 27185 32622 37801 54370 65244 75602 81555 108740 113403 151204 163110 189005 226806 326220 378010 453612 560011 567015 756020 1120022 1134030 1680033 1995379 2240044 2268060 2800055 3360066 3990758 5600110 5986137 6720132 7981516 8400165 9976895 11200220 11972274 16800330 19953790 23944548 29930685 33600660 39907580 59861370 119722740 205524037 411048074 616572111 822096148 1027620185 1233144222 2055240370 2466288444 3082860555 4110480740 6165721110 12331442220