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12002323201302 = 23729293124926927
BaseRepresentation
bin1010111010101000001000…
…1101011111110100010110
31120111102002112120221212010
42232222002031133310112
53033121224214420202
641305442520205050
72346065520625110
oct256520215376426
946442075527763
1012002323201302
11390817a602385
12141a169909786
13690a77ac9305
142d6cb636a3b0
1515c31bd7676c
hexaea8235fd16

12002323201302 has 128 divisors (see below), whose sum is σ = 28500595200000. Its totient is φ = 3296921112576.

The previous prime is 12002323201289. The next prime is 12002323201303. The reversal of 12002323201302 is 20310232320021.

It is a happy number.

It is a super-2 number, since 2×120023232013022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002323201303) 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 63 ways as a sum of consecutive naturals, for example, 445722163 + ... + 445749089.

It is an arithmetic number, because the mean of its divisors is an integer number (222660900000).

Almost surely, 212002323201302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002323201302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250297600000).

12002323201302 is an abundant number, since it is smaller than the sum of its proper divisors (16498271998698).

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

12002323201302 is a wasteful number, since it uses less digits than its factorization.

12002323201302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28510.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12002323201302 its reverse (20310232320021), we get a palindrome (32312555521323).

The spelling of 12002323201302 in words is "twelve trillion, two billion, three hundred twenty-three million, two hundred one thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 293 406 586 609 879 1218 1249 1758 2051 2498 3747 4102 6153 7494 8497 8743 12306 16994 17486 25491 26229 26927 36221 50982 52458 53854 59479 72442 80781 108663 118958 161562 178437 188489 217326 253547 356874 365957 376978 507094 565467 731914 760641 780883 1097871 1130934 1521282 1561766 2195742 2342649 2561699 4685298 5123398 5466181 7685097 7889611 10612753 10932362 15370194 15779222 16398543 21225506 23668833 31838259 32797086 33631823 47337666 55227277 63676518 67263646 74289271 100895469 110454554 148578542 165681831 201790938 222867813 228798719 235422761 331363662 445735626 457597438 470845522 686396157 706268283 975322867 1372792314 1412536566 1601591033 1950645734 2925968601 3203182066 4804773099 5851937202 6827260069 9609546198 9854124139 13654520138 19708248278 20481780207 29562372417 40963560414 59124744834 68978868973 137957737946 206936606919 285769600031 413873213838 571539200062 857308800093 1714617600186 2000387200217 4000774400434 6001161600651 12002323201302