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12122110002210 = 23513191635912281
BaseRepresentation
bin1011000001100110011000…
…0011111000010000100010
31120220212021200120221011220
42300121212003320100202
53042102040130032320
641440453115115510
72360536120630605
oct260314603702042
946825250527156
1012122110002210
113953a5a0898aa
12143941a142b96
1369c157a87670
142dc9db25633c
151604cd266e40
hexb06660f8422

12122110002210 has 64 divisors (see below), whose sum is σ = 32979991605120. Its totient is φ = 2826856419840.

The previous prime is 12122110002173. The next prime is 12122110002259. The reversal of 12122110002210 is 1220001122121.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12122110002210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817948731 + ... + 817963550.

It is an arithmetic number, because the mean of its divisors is an integer number (515312368830).

Almost surely, 212122110002210 is an apocalyptic number.

12122110002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122110002210 is an abundant number, since it is smaller than the sum of its proper divisors (20857881602910).

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

12122110002210 is a wasteful number, since it uses less digits than its factorization.

12122110002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635912323.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122110002210 its reverse (1220001122121), we get a palindrome (13342111124331).

The spelling of 12122110002210 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 1635912281 3271824562 4907736843 8179561405 9815473686 16359122810 21266859653 24538684215 31082333339 42533719306 49077368430 62164666678 63800578959 93247000017 106334298265 127601157918 155411666695 186494000034 212668596530 310823333390 319002894795 404070333407 466235000085 638005789590 808140666814 932470000170 1212211000221 2020351667035 2424422000442 4040703334070 6061055001105 12122110002210