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122221101121112 = 23717389691477619
BaseRepresentation
bin11011110010100011010001…
…010100001111111001011000
3121000202020000200101120212002
4123302203101110033321120
5112004432303341333422
61111535333154140132
734513116552205610
oct3362432124177130
9530666020346762
10122221101121112
1135a41750315864
121185b327581648
13532752883bb96
142227766237a40
15e1e3b832b692
hex6f28d150fe58

122221101121112 has 128 divisors (see below), whose sum is σ = 278424184896000. Its totient is φ = 49101270128640.

The previous prime is 122221101121099. The next prime is 122221101121117. The reversal of 122221101121112 is 211121101122221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221101121117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255657839 + ... + 256135457.

It is an arithmetic number, because the mean of its divisors is an integer number (2175188944500).

Almost surely, 2122221101121112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122221101121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139212092448000).

122221101121112 is an abundant number, since it is smaller than the sum of its proper divisors (156203083774888).

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

122221101121112 is a wasteful number, since it uses less digits than its factorization.

122221101121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478729 (or 478725 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 122221101121112 its reverse (211121101122221), we get a palindrome (333342202243333).

The spelling of 122221101121112 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 389 476 691 778 952 1382 1556 2723 2764 3112 4837 5446 5528 6613 9674 10892 11747 13226 19348 21784 23494 26452 38696 46291 46988 52904 82229 92582 93976 164458 185164 268799 328916 370328 477619 537598 657832 955238 1075196 1881593 1910476 2150392 3343333 3763186 3820952 4569583 6686666 7526372 8119523 9139166 13373332 15052744 16239046 18278332 26746664 31987081 32478092 36556664 56836661 63974162 64956184 113673322 127948324 185793791 227346644 255896648 330034729 371587582 454693288 660069458 743175164 1300556537 1320138916 1486350328 2310243103 2601113074 2640277832 3158494447 4620486206 5202226148 5610590393 6316988894 9240972412 10404452296 11221180786 12633977788 18481944824 22109461129 22442361572 25267955576 39274132751 44218922258 44884723144 78548265502 88437844516 128383509581 157096531004 176875689032 256767019162 314193062008 513534038324 898684567067 1027068076648 1797369134134 2182519662877 3594738268268 4365039325754 7189476536536 8730078651508 15277637640139 17460157303016 30555275280278 61110550560556 122221101121112