Search a number
-
+
121312002000 = 2435372888381
BaseRepresentation
bin111000011111011000…
…0100011111111010000
3102121010102221012220010
41300332300203333100
53441421333031000
6131421401114520
711523140001060
oct1607660437720
9377112835803
10121312002000
11474a250a6a2
121b617188a40
13b593c65207
145c2b6ad3a0
153250266d50
hex1c3ec23fd0

121312002000 has 160 divisors (see below), whose sum is σ = 446982891264. Its totient is φ = 27728448000.

The previous prime is 121312001983. The next prime is 121312002011. The reversal of 121312002000 is 200213121.

121312002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402191 + ... + 1486190.

Almost surely, 2121312002000 is an apocalyptic number.

121312002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121312002000 is an abundant number, since it is smaller than the sum of its proper divisors (325670889264).

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

121312002000 is a wasteful number, since it uses less digits than its factorization.

121312002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888414 (or 2888398 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 121312002000 its reverse (200213121), we get a palindrome (121512215121).

The spelling of 121312002000 in words is "one hundred twenty-one billion, three hundred twelve million, two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 2888381 5776762 8665143 11553524 14441905 17330286 20218667 23107048 28883810 34660572 40437334 43325715 46214096 57767620 60656001 69321144 72209525 80874668 86651430 101093335 115535240 121312002 138642288 144419050 161749336 173302860 202186670 216628575 231070480 242624004 288838100 303280005 323498672 346605720 361047625 404373340 433257150 485248008 505466675 577676200 606560010 693211440 722095250 808746680 866514300 970496016 1010933350 1083142875 1155352400 1213120020 1444190500 1516400025 1617493360 1733028600 2021866700 2166285750 2426240040 2527333375 2888381000 3032800050 3466057200 4043733400 4332571500 4852480080 5054666750 5776762000 6065600100 7582000125 8087466800 8665143000 10109333500 12131200200 15164000250 17330286000 20218667000 24262400400 30328000500 40437334000 60656001000 121312002000