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2220120222012 = 2232711881909091
BaseRepresentation
bin100000010011101001011…
…110100010100100111100
321212020111222212201022100
4200103221132202210330
5242333301234101022
64415524213145100
7316253435343330
oct40235136424474
97766458781270
102220120222012
11786602a94640
122ba33592b190
13131483132154
1479650bcd7c0
153cb3ca191ac
hex204e97a293c

2220120222012 has 144 divisors (see below), whose sum is σ = 7004692041984. Its totient is φ = 575999424000.

The previous prime is 2220120222011. The next prime is 2220120222031. The reversal of 2220120222012 is 2102220210222.

It is a super-2 number, since 2×22201202220122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220120222011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987587 + ... + 2896677.

It is an arithmetic number, because the mean of its divisors is an integer number (48643694736).

Almost surely, 22220120222012 is an apocalyptic number.

2220120222012 is a gapful number since it is divisible by the number (22) 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 2220120222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502346020992).

2220120222012 is an abundant number, since it is smaller than the sum of its proper divisors (4784571819972).

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

2220120222012 is a wasteful number, since it uses less digits than its factorization.

2220120222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910000 (or 909995 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2220120222012 its reverse (2102220210222), we get a palindrome (4322340432234).

The spelling of 2220120222012 in words is "two trillion, two hundred twenty billion, one hundred twenty million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 881 924 1386 1762 2643 2772 3524 5286 6167 7929 9691 10572 12334 15858 18501 19382 24668 29073 31716 37002 38764 55503 58146 67837 74004 87219 111006 116292 135674 174438 203511 222012 271348 348876 407022 610533 814044 909091 1221066 1818182 2442132 2727273 3636364 5454546 6363637 8181819 10000001 10909092 12727274 16363638 19090911 20000002 25454548 30000003 32727276 38181822 40000004 57272733 60000006 70000007 76363644 90000009 114545466 120000012 140000014 180000018 210000021 229090932 280000028 360000036 420000042 630000063 800909171 840000084 1260000126 1601818342 2402727513 2520000252 3203636684 4805455026 5606364197 7208182539 8810000881 9610910052 11212728394 14416365078 16819092591 17620001762 22425456788 26430002643 28832730156 33638185182 35240003524 50457277773 52860005286 61670006167 67276370364 79290007929 100914555546 105720010572 123340012334 158580015858 185010018501 201829111092 246680024668 317160031716 370020037002 555030055503 740040074004 1110060111006 2220120222012