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12221113413124 = 22711101483390991
BaseRepresentation
bin1011000111010111001100…
…0111111010111000000100
31121021022211101222022012201
42301311303013322320010
53100212320013204444
641554145121524244
72400642404012560
oct261656307727004
947238741868181
1012221113413124
113991a43a10860
12145464a1a3684
136a85a4c82605
1430370dbb66a0
15162d74c45dd4
hexb1d731fae04

12221113413124 has 48 divisors (see below), whose sum is σ = 26664578390016. Its totient is φ = 4761413661600.

The previous prime is 12221113413121. The next prime is 12221113413133. The reversal of 12221113413124 is 42131431112221.

It is a super-2 number, since 2×122211134131242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12221113413092 and 12221113413101.

It is not an unprimeable number, because it can be changed into a prime (12221113413121) by changing a digit.

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, 31061269 + ... + 31452259.

It is an arithmetic number, because the mean of its divisors is an integer number (555512049792).

Almost surely, 212221113413124 is an apocalyptic number.

12221113413124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12221113413124 is an abundant number, since it is smaller than the sum of its proper divisors (14443464976892).

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

12221113413124 is a wasteful number, since it uses less digits than its factorization.

12221113413124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492496 (or 492494 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

Adding to 12221113413124 its reverse (42131431112221), we get a palindrome (54352544525345).

The spelling of 12221113413124 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirteen million, four hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 101483 202966 390991 405932 710381 781982 1116313 1420762 1563964 2232626 2736937 2841524 4300901 4465252 5473874 7814191 8601802 10947748 15628382 17203604 30106307 31256764 60212614 120425228 39678939653 79357879306 158715758612 277752577571 436468336183 555505155142 872936672366 1111010310284 1745873344732 3055278353281 6110556706562 12221113413124