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12012222132 = 2233894792609
BaseRepresentation
bin10110010111111101…
…11111011010110100
31011000011010002222000
423023332333122310
5144100112102012
65303543335300
7603450126531
oct131376773264
934004102860
1012012222132
11510464a309
1223b2a51530
131195853961
1481d4bdd88
154a4886ddc
hex2cbfbf6b4

12012222132 has 96 divisors (see below), whose sum is σ = 31570560000. Its totient is φ = 3949304832.

The previous prime is 12012222127. The next prime is 12012222137. The reversal of 12012222132 is 23122221021.

It is an interprime number because it is at equal distance from previous prime (12012222127) and next prime (12012222137).

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 (12012222137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4602844 + ... + 4605452.

It is an arithmetic number, because the mean of its divisors is an integer number (328860000).

Almost surely, 212012222132 is an apocalyptic number.

12012222132 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 12012222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785280000).

12012222132 is an abundant number, since it is smaller than the sum of its proper divisors (19558337868).

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

12012222132 is a wasteful number, since it uses less digits than its factorization.

12012222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12012222132 its reverse (23122221021), we get a palindrome (35134443153).

The spelling of 12012222132 in words is "twelve billion, twelve million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 479 534 801 958 1068 1437 1602 1916 2403 2609 2874 3204 4311 4806 5218 5748 7827 8622 9612 10436 12933 15654 17244 23481 25866 31308 42631 46962 51732 70443 85262 93924 127893 140886 170524 232201 255786 281772 383679 464402 511572 696603 767358 928804 1151037 1249711 1393206 1534716 2089809 2302074 2499422 2786412 3749133 4179618 4604148 4998844 6269427 7498266 8359236 11247399 12538854 14996532 22494798 25077708 33742197 44989596 67484394 111224279 134968788 222448558 333672837 444897116 667345674 1001018511 1334691348 2002037022 3003055533 4004074044 6006111066 12012222132