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11212122112212 = 22371725131281379
BaseRepresentation
bin1010001100101000011010…
…0011100100000011010100
31110200212110001211110121210
42203022012203210003110
52432144411230042322
635502440000341420
72235022560323340
oct243120643440324
943625401743553
1011212122112212
1136330416a646a
121310b99014870
136343b5c91198
142aa953580620
151469bde7070c
hexa32868e40d4

11212122112212 has 96 divisors (see below), whose sum is σ = 31783884088320. Its totient is φ = 3003012288000.

The previous prime is 11212122112171. The next prime is 11212122112393. The reversal of 11212122112212 is 21221122121211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15282262 + ... + 15999117.

It is an arithmetic number, because the mean of its divisors is an integer number (331082125920).

Almost surely, 211212122112212 is an apocalyptic number.

11212122112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11212122112212 is an abundant number, since it is smaller than the sum of its proper divisors (20571761976108).

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

11212122112212 is a wasteful number, since it uses less digits than its factorization.

11212122112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31281661 (or 31281659 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

Adding to 11212122112212 its reverse (21221122121211), we get a palindrome (32433244233423).

The spelling of 11212122112212 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 251 357 476 502 714 753 1004 1428 1506 1757 3012 3514 4267 5271 7028 8534 10542 12801 17068 21084 25602 29869 51204 59738 89607 119476 179214 358428 31281379 62562758 93844137 125125516 187688274 218969653 375376548 437939306 531783443 656908959 875878612 1063566886 1313817918 1595350329 2127133772 2627635836 3190700658 3722484101 6381401316 7444968202 7851626129 11167452303 14889936404 15703252258 22334904606 23554878387 31406504516 44669809212 47109756774 54961382903 94219513548 109922765806 133477644193 164884148709 219845531612 266955288386 329768297418 400432932579 533910576772 659536594836 800865865158 934343509351 1601731730316 1868687018702 2803030528053 3737374037404 5606061056106 11212122112212