Search a number
-
+
12212110120110 = 23517235917645773
BaseRepresentation
bin1011000110110101101001…
…1111000101010010101110
31121020110120221200122000220
42301231122133011102232
53100040400142320420
641550055502032210
72400203321205105
oct261553237052256
947213527618026
1012212110120110
11398914388052a
121452956b78666
136a779b91b4b4
143030d818503c
151629e9618840
hexb1b5a7c54ae

12212110120110 has 128 divisors (see below), whose sum is σ = 32931249269760. Its totient is φ = 2882048649216.

The previous prime is 12212110120079. The next prime is 12212110120141. The reversal of 12212110120110 is 1102101121221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12212110120079) and next prime (12212110120141).

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 12212110120110.

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, 8130817 + ... + 9514956.

It is an arithmetic number, because the mean of its divisors is an integer number (257275384920).

Almost surely, 212212110120110 is an apocalyptic number.

12212110120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12212110120110 is an abundant number, since it is smaller than the sum of its proper divisors (20719139149650).

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

12212110120110 is a wasteful number, since it uses less digits than its factorization.

12212110120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17645882.

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

Adding to 12212110120110 its reverse (1102101121221), we get a palindrome (13314211241331).

The spelling of 12212110120110 in words is "twelve trillion, two hundred twelve billion, one hundred ten million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 59 69 85 102 115 118 138 170 177 230 255 295 345 354 391 510 590 690 782 885 1003 1173 1357 1770 1955 2006 2346 2714 3009 3910 4071 5015 5865 6018 6785 8142 10030 11730 13570 15045 20355 23069 30090 40710 46138 69207 115345 138414 230690 346035 692070 17645773 35291546 52937319 88228865 105874638 176457730 264686595 299978141 405852779 529373190 599956282 811705558 899934423 1041100607 1217558337 1499890705 1799868846 2029263895 2082201214 2435116674 2999781410 3123301821 4058527790 4499672115 5205503035 6087791685 6246603642 6899497243 8999344230 10411006070 12175583370 13798994486 15616509105 17698710319 20698491729 23945313961 31233018210 34497486215 35397420638 41396983458 47890627922 53096130957 68994972430 71835941883 88493551595 103492458645 106192261914 119726569805 143671883766 176987103190 206984917290 239453139610 265480654785 359179709415 407070337337 530961309570 718359418830 814140674674 1221211012011 2035351686685 2442422024022 4070703373370 6106055060055 12212110120110