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122021011021112 = 23723307853361769
BaseRepresentation
bin11011101111101000111011…
…000001000101110100111000
3121000001002120001120100101122
4123233220323001011310320
5111443143012310133422
61111303402325004412
734462504255341440
oct3357507301056470
9530032501510348
10122021011021112
1135974902705155
12118285a5853708
1353116bb9643c8
14221bbc41c1120
15e190a700ad42
hex6efa3b045d38

122021011021112 has 128 divisors (see below), whose sum is σ = 274052409523200. Its totient is φ = 49799512654848.

The previous prime is 122021011021081. The next prime is 122021011021163. The reversal of 122021011021112 is 211120110120221.

It is a super-2 number, since 2×1220210110211122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337108964 + ... + 337470732.

It is an arithmetic number, because the mean of its divisors is an integer number (2141034449400).

Almost surely, 2122021011021112 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 122021011021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137026204761600).

122021011021112 is an abundant number, since it is smaller than the sum of its proper divisors (152031398502088).

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

122021011021112 is a wasteful number, since it uses less digits than its factorization.

122021011021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362965 (or 362961 counting only the distinct ones).

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

Adding to 122021011021112 its reverse (211120110120221), we get a palindrome (333141121141333).

The spelling of 122021011021112 in words is "one hundred twenty-two trillion, twenty-one billion, eleven million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 307 322 614 644 853 1228 1288 1706 2149 2456 3412 4298 5971 6824 7061 8596 11942 14122 17192 19619 23884 28244 39238 47768 49427 56488 78476 98854 137333 156952 197708 261871 274666 361769 395416 523742 549332 723538 1047484 1098664 1447076 1833097 2094968 2532383 2894152 3666194 5064766 6023033 7332388 8320687 10129532 12046066 14664776 16641374 20259064 24092132 33282748 42161231 48184264 58244809 66565496 84322462 111063083 116489618 168644924 222126166 232979236 308588957 337289848 444252332 465958472 617177914 777441581 888504664 1234355828 1554883162 2160122699 2468711656 2554450909 3109766324 4320245398 5108901818 6219532648 7097546011 8640490796 10217803636 14195092022 17280981592 17881156363 20435607272 28390184044 35762312726 49682822077 56780368088 71524625452 94736809799 99365644154 143049250904 189473619598 198731288308 378947239196 397462576616 663157668593 757894478392 1326315337186 2178946625377 2652630674372 4357893250754 5305261348744 8715786501508 15252626377639 17431573003016 30505252755278 61010505510556 122021011021112