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12002131323320 = 2351916999295043
BaseRepresentation
bin1010111010100111011011…
…0001100010100110111000
31120111101121011112112202012
42232221312301202212320
53033120331104321240
641305411503425052
72346061000656065
oct256516661424670
946441534475665
1012002131323320
113908091267636
12141a1155b5188
13690a47126b48
142d6c98a9dc6c
1515c30a0c3b65
hexaea76c629b8

12002131323320 has 64 divisors (see below), whose sum is σ = 28442834640000. Its totient is φ = 4545498619008.

The previous prime is 12002131323239. The next prime is 12002131323337. The reversal of 12002131323320 is 2332313120021.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3356282 + ... + 5938761.

It is an arithmetic number, because the mean of its divisors is an integer number (444419291250).

Almost surely, 212002131323320 is an apocalyptic number.

12002131323320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002131323320 is an abundant number, since it is smaller than the sum of its proper divisors (16440703316680).

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

12002131323320 is a wasteful number, since it uses less digits than its factorization.

12002131323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9296772 (or 9296768 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12002131323320 its reverse (2332313120021), we get a palindrome (14334444443341).

The spelling of 12002131323320 in words is "twelve trillion, two billion, one hundred thirty-one million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1699 3398 6796 8495 13592 16990 32281 33980 64562 67960 129124 161405 258248 322810 645620 1291240 9295043 18590086 37180172 46475215 74360344 92950430 176605817 185900860 353211634 371801720 706423268 883029085 1412846536 1766058170 3532116340 7064232680 15792278057 31584556114 63169112228 78961390285 126338224456 157922780570 300053283083 315845561140 600106566166 631691122280 1200213132332 1500266415415 2400426264664 3000532830830 6001065661660 12002131323320