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1122000012 = 223571031601
BaseRepresentation
bin100001011100000…
…0101110010001100
32220012020111200000
41002320011302030
54244213000022
6303200204300
736542562030
oct10270056214
92805214600
101122000012
11526381241
12273909690
1314b5b4543
14a90281c0
156877e6ac
hex42e05c8c

1122000012 has 144 divisors (see below), whose sum is σ = 3396137472. Its totient is φ = 317260800.

The previous prime is 1121999993. The next prime is 1122000013. The reversal of 1122000012 is 2100002211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1121999958 and 1122000003.

It is not an unprimeable number, because it can be changed into a prime (1122000013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700012 + ... + 701612.

It is an arithmetic number, because the mean of its divisors is an integer number (23584288).

Almost surely, 21122000012 is an apocalyptic number.

1122000012 is a gapful number since it is divisible by the number (12) 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 1122000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698068736).

1122000012 is an abundant number, since it is smaller than the sum of its proper divisors (2274137460).

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

1122000012 is a wasteful number, since it uses less digits than its factorization.

1122000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1122000012 is about 33496.2686280129. The cubic root of 1122000012 is about 1039.1166105502.

Adding to 1122000012 its reverse (2100002211), we get a palindrome (3222002223).

The spelling of 1122000012 in words is "one billion, one hundred twenty-two million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 103 108 126 162 189 206 243 252 309 324 378 412 486 567 618 721 756 927 972 1134 1236 1442 1601 1701 1854 2163 2268 2781 2884 3202 3402 3708 4326 4803 5562 6404 6489 6804 8343 8652 9606 11124 11207 12978 14409 16686 19212 19467 22414 25029 25956 28818 33372 33621 38934 43227 44828 50058 57636 58401 67242 77868 86454 100116 100863 116802 129681 134484 164903 172908 175203 201726 233604 259362 302589 329806 350406 389043 403452 494709 518724 605178 659612 700812 778086 907767 989418 1154321 1210356 1484127 1556172 1815534 1978836 2308642 2723301 2968254 3462963 3631068 4452381 4617284 5446602 5936508 6925926 8904762 10388889 10893204 13357143 13851852 17809524 20777778 26714286 31166667 40071429 41555556 53428572 62333334 80142858 93500001 124666668 160285716 187000002 280500003 374000004 561000006 1122000012