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1221200101110 = 23511231011593029
BaseRepresentation
bin10001110001010101001…
…100101011111011110110
311022202010112102211110110
4101301111030223323312
5130002004211213420
62333002300203450
7154141322406003
oct21612514537366
94282115384413
101221200101110
114309a9690910
12178815539586
138b20a7c0b32
144316bd688aa
1521b75eb1ee0
hex11c5532bef6

1221200101110 has 128 divisors (see below), whose sum is σ = 3369373148160. Its totient is φ = 280372928000.

The previous prime is 1221200101097. The next prime is 1221200101153. The reversal of 1221200101110 is 111010021221.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 29925 + ... + 1563104.

It is an arithmetic number, because the mean of its divisors is an integer number (26323227720).

Almost surely, 21221200101110 is an apocalyptic number.

1221200101110 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 1221200101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684686574080).

1221200101110 is an abundant number, since it is smaller than the sum of its proper divisors (2148173047050).

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

1221200101110 is a wasteful number, since it uses less digits than its factorization.

1221200101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593174.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1221200101110 its reverse (111010021221), we get a palindrome (1332210122331).

The spelling of 1221200101110 in words is "one trillion, two hundred twenty-one billion, two hundred million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 101 110 115 138 165 202 230 253 303 330 345 505 506 606 690 759 1010 1111 1265 1515 1518 2222 2323 2530 3030 3333 3795 4646 5555 6666 6969 7590 11110 11615 13938 16665 23230 25553 33330 34845 51106 69690 76659 127765 153318 255530 383295 766590 1593029 3186058 4779087 7965145 9558174 15930290 17523319 23895435 35046638 36639667 47790870 52569957 73279334 87616595 105139914 109919001 160895929 175233190 183198335 219838002 262849785 321791858 366396670 403036337 482687787 525699570 549595005 804479645 806072674 965375574 1099190010 1209109011 1608959290 1769855219 2015181685 2413438935 2418218022 3539710438 3700606367 4030363370 4826877870 5309565657 6045545055 7401212734 8849276095 10619131314 11101819101 12091090110 17698552190 18503031835 22203638202 26547828285 37006063670 40706670037 53095656570 55509095505 81413340074 111018191010 122120010111 203533350185 244240020222 407066700370 610600050555 1221200101110