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12211200121112 = 23127353136724907
BaseRepresentation
bin1011000110110010010000…
…1111101101100100011000
31121020101020112100220002022
42301230210033231210120
53100032014212333422
641545425313354012
72400141631302566
oct261544417554430
947211215326068
1012211200121112
113988817139843
121452742268908
136a7685233855
1430304d384a36
151629947b4342
hexb1b243ed918

12211200121112 has 64 divisors (see below), whose sum is σ = 23159514193920. Its totient is φ = 6035703303168.

The previous prime is 12211200121111. The next prime is 12211200121129. The reversal of 12211200121112 is 21112100211221.

It is a super-2 number, since 2×122112001211122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211200121111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490259363 + ... + 490284269.

It is an arithmetic number, because the mean of its divisors is an integer number (361867409280).

Almost surely, 212211200121112 is an apocalyptic number.

It is an amenable number.

12211200121112 is a deficient number, since it is larger than the sum of its proper divisors (10948314072808).

12211200121112 is a wasteful number, since it uses less digits than its factorization.

12211200121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26760 (or 26756 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12211200121112 its reverse (21112100211221), we get a palindrome (33323300332333).

The spelling of 12211200121112 in words is "twelve trillion, two hundred eleven billion, two hundred million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 127 254 353 508 706 1016 1367 1412 2734 2824 5468 10936 24907 44831 49814 89662 99628 173609 179324 199256 347218 358648 482551 694436 965102 1388872 1930204 3163189 3860408 6326378 8792171 12652756 17584342 25305512 34047869 35168684 61283977 68095738 70337368 122567954 136191476 245135908 272382952 490271816 1116605717 2233211434 4324079363 4466422868 8648158726 8932845736 12018897757 17296317452 24037795514 34592634904 48075591028 96151182056 1526400015139 3052800030278 6105600060556 12211200121112