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12002222102010 = 2357173991333367
BaseRepresentation
bin1010111010100111110000…
…1011110101010111111010
31120111101211111100120200220
42232221330023311113322
53033121022324231020
641305424505240510
72346063152404020
oct256517413652772
946441744316626
1012002222102010
11390812852aa48
12141a13ba93136
13690a5cb8c34a
142d6ca6b70710
1515c313056240
hexaea7c2f55fa

12002222102010 has 128 divisors (see below), whose sum is σ = 33144182636544. Its totient is φ = 2724746999040.

The previous prime is 12002222102009. The next prime is 12002222102023. The reversal of 12002222102010 is 1020122220021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35836347 + ... + 36169713.

It is an arithmetic number, because the mean of its divisors is an integer number (258938926848).

Almost surely, 212002222102010 is an apocalyptic number.

12002222102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002222102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572091318272).

12002222102010 is an abundant number, since it is smaller than the sum of its proper divisors (21141960534534).

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

12002222102010 is a wasteful number, since it uses less digits than its factorization.

12002222102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334548.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12002222102010 its reverse (1020122220021), we get a palindrome (13022344322031).

The spelling of 12002222102010 in words is "twelve trillion, two billion, two hundred twenty-two million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 173 210 346 519 865 991 1038 1211 1730 1982 2422 2595 2973 3633 4955 5190 5946 6055 6937 7266 9910 12110 13874 14865 18165 20811 29730 34685 36330 41622 69370 104055 171443 208110 333367 342886 514329 666734 857215 1000101 1028658 1200101 1666835 1714430 2000202 2333569 2400202 2571645 3333670 3600303 4667138 5000505 5143290 6000505 7000707 7200606 10001010 11667845 12001010 14001414 18001515 23335690 35003535 36003030 57672491 70007070 115344982 173017473 288362455 330366697 346034946 403707437 576724910 660733394 807414874 865087365 991100091 1211122311 1651833485 1730174730 1982200182 2018537185 2312566879 2422244622 3303666970 4037074370 4625133758 4955500455 6055611555 6937700637 9911000910 11562834395 12111223110 13875401274 23125668790 34688503185 57153438581 69377006370 114306877162 171460315743 285767192905 342920631486 400074070067 571534385810 800148140134 857301578715 1200222210201 1714603157430 2000370350335 2400444420402 4000740700670 6001111051005 12002222102010