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12320002002 = 23711192715179
BaseRepresentation
bin10110111100101010…
…00100111111010010
31011210121020221120110
423132111010333102
5200212410031002
65354300222150
7614205201120
oct133625047722
934717227513
1012320002002
115252357940
122479b3a956
131214546919
1484c31a910
154c18d0e6c
hex2de544fd2

12320002002 has 128 divisors (see below), whose sum is σ = 32462438400. Its totient is φ = 3019809600.

The previous prime is 12320002001. The next prime is 12320002043. The reversal of 12320002002 is 20020002321.

It is not an unprimeable number, because it can be changed into a prime (12320002001) 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 63 ways as a sum of consecutive naturals, for example, 2376249 + ... + 2381427.

It is an arithmetic number, because the mean of its divisors is an integer number (253612800).

Almost surely, 212320002002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12320002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231219200).

12320002002 is an abundant number, since it is smaller than the sum of its proper divisors (20142436398).

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

12320002002 is a wasteful number, since it uses less digits than its factorization.

12320002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12320002002 its reverse (20020002321), we get a palindrome (32340004323).

The spelling of 12320002002 in words is "twelve billion, three hundred twenty million, two thousand, two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 271 399 418 462 542 627 798 813 1254 1463 1626 1897 2926 2981 3794 4389 5149 5179 5691 5962 8778 8943 10298 10358 11382 15447 15537 17886 20867 30894 31074 36043 36253 41734 56639 56969 62601 72086 72506 98401 108129 108759 113278 113938 125202 169917 170907 196802 216258 217518 295203 339834 341814 396473 398783 590406 688807 792946 797566 1082411 1189419 1196349 1377614 1403509 2066421 2164822 2378838 2392698 2807018 3247233 4132842 4210527 6494466 7576877 8421054 9824563 15153754 15438599 19649126 22730631 26666671 29473689 30877198 45461262 46315797 53333342 58947378 80000013 92631594 108070193 160000026 186666697 216140386 293333381 324210579 373333394 560000091 586666762 648421158 880000143 1120000182 1760000286 2053333667 4106667334 6160001001 12320002002