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12221121010110 = 23553167312114747
BaseRepresentation
bin1011000111010111001110…
…0100111001100110111110
31121021022211221021021022120
42301311303210321212332
53100212323434310420
641554145552423410
72400642525413325
oct261656344714676
947238757237276
1012221121010110
113991a4822a561
121454650847b66
136a85a671247c
14303710bd30bc
15162d75746d40
hexb1d739399be

12221121010110 has 128 divisors (see below), whose sum is σ = 30074718127104. Its totient is φ = 3177095301120.

The previous prime is 12221121010069. The next prime is 12221121010127. The reversal of 12221121010110 is 1101012112221.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12221121010110.

It is a congruent 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, 828711757 + ... + 828726503.

It is an arithmetic number, because the mean of its divisors is an integer number (234958735368).

Almost surely, 212221121010110 is an apocalyptic number.

12221121010110 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 12221121010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037359063552).

12221121010110 is an abundant number, since it is smaller than the sum of its proper divisors (17853597116994).

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

12221121010110 is a wasteful number, since it uses less digits than its factorization.

12221121010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18098.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12221121010110 its reverse (1101012112221), we get a palindrome (13322133122331).

The spelling of 12221121010110 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 167 265 318 334 501 530 795 835 1002 1590 1670 2505 3121 5010 6242 8851 9363 14747 15605 17702 18726 26553 29494 31210 44241 44255 46815 53106 73735 88482 88510 93630 132765 147470 165413 221205 265530 330826 442410 496239 521207 781591 827065 992478 1042414 1563182 1563621 1654130 2344773 2462749 2481195 2606035 3127242 3907955 4689546 4925498 4962390 5212070 7388247 7815910 7818105 11723865 12313745 14776494 15636210 23447730 24627490 27623971 36941235 46025387 55247942 73882470 82871913 92050774 130525697 138076161 138119855 165743826 230126935 261051394 276152322 276239710 391577091 414359565 460253870 652628485 690380805 783154182 828719130 1305256970 1380761610 1957885455 2439345511 3915770910 4878691022 7318036533 7686239629 12196727555 14636073066 15372479258 23058718887 24393455110 36590182665 38431198145 46117437774 73180365330 76862396290 115293594435 230587188870 407370700337 814741400674 1222112101011 2036853501685 2444224202022 4073707003370 6110560505055 12221121010110