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12224142111140 = 2253797170300113
BaseRepresentation
bin1011000111100010011110…
…1001011111000110100100
31121021121122111000002211022
42301320213221133012210
53100240020340024030
641555405433230312
72401110431352131
oct261704751370644
947247574002738
1012224142111140
1139932585a2473
121455154562398
136a89685a430b
1430391a12d588
15162ea0aa7de5
hexb1e27a5f1a4

12224142111140 has 48 divisors (see below), whose sum is σ = 26636300230512. Its totient is φ = 4708457496576.

The previous prime is 12224142111121. The next prime is 12224142111163. The reversal of 12224142111140 is 4111124142221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 217820090944 + 12006322020196 = 466712^2 + 3465014^2 .

It is a super-2 number, since 2×122241421111402 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 85078277 + ... + 85221836.

It is an arithmetic number, because the mean of its divisors is an integer number (554922921469).

Almost surely, 212224142111140 is an apocalyptic number.

12224142111140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12224142111140 is an abundant number, since it is smaller than the sum of its proper divisors (14412158119372).

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

12224142111140 is a wasteful number, since it uses less digits than its factorization.

12224142111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170300256 (or 170300254 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 12224142111140 its reverse (4111124142221), we get a palindrome (16335266253361).

The spelling of 12224142111140 in words is "twelve trillion, two hundred twenty-four billion, one hundred forty-two million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 97 148 185 194 370 388 485 740 970 1940 3589 7178 14356 17945 35890 71780 170300113 340600226 681200452 851500565 1703001130 3406002260 6301104181 12602208362 16519110961 25204416724 31505520905 33038221922 63011041810 66076443844 82595554805 126022083620 165191109610 330382219220 611207105557 1222414211114 2444828422228 3056035527785 6112071055570 12224142111140