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12023100122202 = 2341323733400223
BaseRepresentation
bin1010111011110101100010…
…0111001010010001011010
31120120101201112000220020000
42232331120213022101122
53033441302112402302
641323200321513430
72350432425553401
oct256753047122132
946511645026200
1012023100122202
113915a71639594
1214221a7aa2876
13692a09436050
142d7cc78d0638
1515cb35e0b31c
hexaef589ca45a

12023100122202 has 160 divisors (see below), whose sum is σ = 30689170541568. Its totient is φ = 3490096667904.

The previous prime is 12023100122161. The next prime is 12023100122213. The reversal of 12023100122202 is 20222100132021.

12023100122202 is a `hidden beast` number, since 120 + 2 + 310 + 0 + 12 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1835863 + ... + 5236085.

Almost surely, 212023100122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023100122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344585270784).

12023100122202 is an abundant number, since it is smaller than the sum of its proper divisors (18666070419366).

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

12023100122202 is a wasteful number, since it uses less digits than its factorization.

12023100122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400346 (or 3400337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12023100122202 its reverse (20222100132021), we get a palindrome (32245200254223).

The spelling of 12023100122202 in words is "twelve trillion, twenty-three billion, one hundred million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 73 78 81 117 138 146 162 207 219 234 299 351 414 438 598 621 657 702 897 949 1053 1242 1314 1679 1794 1863 1898 1971 2106 2691 2847 3358 3726 3942 5037 5382 5694 5913 8073 8541 10074 11826 15111 16146 17082 21827 24219 25623 30222 43654 45333 48438 51246 65481 76869 90666 130962 135999 153738 196443 271998 392886 589329 1178658 1767987 3400223 3535974 6800446 10200669 20401338 30602007 44202899 61204014 78205129 88405798 91806021 132608697 156410258 183612042 234615387 248216279 265217394 275418063 397826091 469230774 496432558 550836126 703846161 744648837 795652182 1016666677 1193478273 1407692322 1489297674 2033333354 2111538483 2233946511 2386956546 3050000031 3226811627 3580434819 4223076966 4467893022 5708974417 6100000062 6334615449 6453623254 6701839533 7160869638 9150000093 9680434881 11417948834 12669230898 13403679066 17126923251 18300000186 19360869762 20105518599 27450000279 29041304643 34253846502 40211037198 51380769753 54900000558 58082609286 74216667421 82350000837 87123913929 102761539506 148433334842 154142309259 164700001674 174247827858 222650002263 261371741787 308284618518 445300004526 462426927777 522743483574 667950006789 924853855554 1335900013578 2003850020367 4007700040734 6011550061101 12023100122202