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12002020031976 = 23313234937338773
BaseRepresentation
bin1010111010100111000000…
…1000111111110111101000
31120111101022102010100201120
42232221300020333313220
53033120114112010401
641305352450215240
72346055150005402
oct256516010776750
946441272110646
1012002020031976
113908034463817
12141a0a4284520
13690a2a05ba90
142d6c87dadb72
1515c30043d836
hexaea7023fde8

12002020031976 has 128 divisors (see below), whose sum is σ = 33724978801920. Its totient is φ = 3531641186304.

The previous prime is 12002020031927. The next prime is 12002020031977. The reversal of 12002020031976 is 67913002020021.

It is not an unprimeable number, because it can be changed into a prime (12002020031977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35258526 + ... + 35597298.

It is an arithmetic number, because the mean of its divisors is an integer number (263476396890).

Almost surely, 212002020031976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002020031976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16862489400960).

12002020031976 is an abundant number, since it is smaller than the sum of its proper divisors (21722958769944).

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

12002020031976 is a wasteful number, since it uses less digits than its factorization.

12002020031976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343755 (or 343751 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

Adding to 12002020031976 its reverse (67913002020021), we get a palindrome (79915022051997).

The spelling of 12002020031976 in words is "twelve trillion, two billion, twenty million, thirty-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 4937 7176 9874 14811 19748 29622 39496 59244 64181 113551 118488 128362 192543 227102 256724 338773 340653 385086 454204 513448 677546 681306 770172 908408 1016319 1355092 1362612 1476163 1540344 2032638 2710184 2725224 2952326 4065276 4404049 4428489 5904652 7791779 8130552 8808098 8856978 11809304 13212147 15583558 17616196 17713956 23375337 26424294 31167116 35232392 35427912 46750674 52848588 62334232 93501348 101293127 105697176 187002696 202586254 303879381 405172508 607758762 810345016 1215517524 1672522301 2431035048 3345044602 5017566903 6690089204 10035133806 13380178408 20070267612 21742789913 38468012923 40140535224 43485579826 65228369739 76936025846 86971159652 115404038769 130456739478 153872051692 173942319304 230808077538 260913478956 307744103384 461616155076 500084167999 521826957912 923232310152 1000168335998 1500252503997 2000336671996 3000505007994 4000673343992 6001010015988 12002020031976