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22120111200220 = 22511295636158263
BaseRepresentation
bin1010000011110001111010…
…10111101101011111011100
32220022122212120201112010221
411001320331113231133130
510344403441431401340
6115013501103011124
74442060655623155
oct501707527553734
986278776645127
1022120111200220
1170590a5114350
122593038599aa4
13c45bc0a97bc7
14566894b1c92c
152855dc98244a
hex141e3d5ed7dc

22120111200220 has 96 divisors (see below), whose sum is σ = 52515704747520. Its totient is φ = 7752512866560.

The previous prime is 22120111200197. The next prime is 22120111200227. The reversal of 22120111200220 is 2200211102122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22120111200194 and 22120111200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120111200227) 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, 512809 + ... + 6671071.

It is an arithmetic number, because the mean of its divisors is an integer number (547038591120).

Almost surely, 222120111200220 is an apocalyptic number.

22120111200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120111200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26257852373760).

22120111200220 is an abundant number, since it is smaller than the sum of its proper divisors (30395593547300).

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

22120111200220 is a wasteful number, since it uses less digits than its factorization.

22120111200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158875 (or 6158873 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22120111200220 its reverse (2200211102122), we get a palindrome (24320322302342).

The spelling of 22120111200220 in words is "twenty-two trillion, one hundred twenty billion, one hundred eleven million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 563 580 638 1126 1276 1595 2252 2815 3190 5630 6193 6380 11260 12386 16327 24772 30965 32654 61930 65308 81635 123860 163270 179597 326540 359194 718388 897985 1795970 3591940 6158263 12316526 24633052 30791315 61582630 67740893 123165260 135481786 178589627 270963572 338704465 357179254 677408930 714358508 892948135 1354817860 1785896270 1964485897 3467102069 3571792540 3928971794 6934204138 7857943588 9822429485 13868408276 17335510345 19644858970 34671020690 38138122759 39289717940 69342041380 76276245518 100545960001 152552491036 190690613795 201091920002 381381227590 402183840004 502729800005 762762455180 1005459600010 1106005560011 2010919200020 2212011120022 4424022240044 5530027800055 11060055600110 22120111200220