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12000022111110 = 23511101377995273
BaseRepresentation
bin1010111010011111100100…
…0011100010001110000110
31120111012011011200110112110
42232213321003202032012
53033102021130023420
641304422320001450
72345654506653255
oct256477103421606
946435134613473
1012000022111110
1139071a9707250
121419827160286
1369079c161b97
142d6b388d679c
1515c234d3bee0
hexae9f90e2386

12000022111110 has 128 divisors (see below), whose sum is σ = 31738040732160. Its totient is φ = 2879500928000.

The previous prime is 12000022111069. The next prime is 12000022111141. The reversal of 12000022111110 is 1111122000021.

12000022111110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 125906434 + ... + 126001706.

It is an arithmetic number, because the mean of its divisors is an integer number (247953443220).

Almost surely, 212000022111110 is an apocalyptic number.

12000022111110 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 12000022111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15869020366080).

12000022111110 is an abundant number, since it is smaller than the sum of its proper divisors (19738018621050).

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

12000022111110 is a wasteful number, since it uses less digits than its factorization.

12000022111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99174.

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

Adding to 12000022111110 its reverse (1111122000021), we get a palindrome (13111144111131).

The spelling of 12000022111110 in words is "twelve trillion, twenty-two million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 3779 5555 6666 7558 11110 11337 16665 18895 22674 33330 37790 41569 56685 83138 95273 113370 124707 190546 207845 249414 285819 381679 415690 476365 571638 623535 763358 952730 1048003 1145037 1247070 1429095 1908395 2096006 2290074 2858190 3144009 3816790 4198469 5240015 5725185 6288018 8396938 9622573 10480030 11450370 12595407 15720045 19245146 20992345 25190814 28867719 31440090 41984690 48112865 57735438 62977035 96225730 105848303 125954070 144338595 211696606 288677190 317544909 360036667 529241515 635089818 720073334 1058483030 1080110001 1587724545 1800183335 2160220002 3175449090 3600366670 3960403337 5400550005 7920806674 10801100010 11881210011 19802016685 23762420022 36363703367 39604033370 59406050055 72727406734 109091110101 118812100110 181818516835 218182220202 363637033670 400000737037 545455550505 800001474074 1090911101010 1200002211111 2000003685185 2400004422222 4000007370370 6000011055555 12000022111110