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12102213013000 = 2353112180350461
BaseRepresentation
bin1011000000011100010000…
…0110111000111000001000
31120211221221000220011011121
42300013010012320320020
53041240313012404000
641423402505405024
72356233056205655
oct260070406707010
946757830804147
1012102213013000
113946579818370
1214355a6799774
1369a306838a76
142dba70906c2c
1515ec16597b1a
hexb01c41b8e08

12102213013000 has 128 divisors (see below), whose sum is σ = 30895678419840. Its totient is φ = 4400515680000.

The previous prime is 12102213012997. The next prime is 12102213013021. The reversal of 12102213013000 is 31031220121.

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, 239807770 + ... + 239858230.

It is an arithmetic number, because the mean of its divisors is an integer number (241372487655).

Almost surely, 212102213013000 is an apocalyptic number.

12102213013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102213013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15447839209920).

12102213013000 is an abundant number, since it is smaller than the sum of its proper divisors (18793465406840).

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

12102213013000 is a wasteful number, since it uses less digits than its factorization.

12102213013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72296 (or 72282 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12102213013000 its reverse (31031220121), we get a palindrome (12133244233121).

The spelling of 12102213013000 in words is "twelve trillion, one hundred two billion, two hundred thirteen million, thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 21803 43606 50461 87212 100922 109015 174424 201844 218030 239833 252305 403688 436060 479666 504610 545075 555071 872120 959332 1009220 1090150 1110142 1199165 1261525 1918664 2018440 2180300 2220284 2398330 2523050 2725375 2775355 4360600 4440568 4796660 5046100 5450750 5550710 5995825 6307625 9593320 10092200 10901500 11101420 11991650 12615250 13876775 21803000 22202840 23983300 25230500 27753550 29979125 47966600 50461000 55507100 59958250 69383875 111014200 119916500 138767750 239833000 277535500 555071000 1100201183 2200402366 4400804732 5501005915 8801609464 11002011830 12102213013 22004023660 24204426026 27505029575 44008047320 48408852052 55010059150 60511065065 96817704104 110020118300 121022130130 137525147875 220040236600 242044260260 275050295750 302555325325 484088520520 550100591500 605110650650 1100201183000 1210221301300 1512776626625 2420442602600 3025553253250 6051106506500 12102213013000