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22120220200112 = 24174318191103967
BaseRepresentation
bin1010000011110010000111…
…10111100000110010110000
32220022200011011211021212222
411001321003313200302300
510344404202332400422
6115013515555140212
74442063451251126
oct501710367406260
986280134737788
1022120220200112
1170591506a2601
122593068ba4668
13c45c0a53cc98
145668a53b3916
152855e7313842
hex141e43de0cb0

22120220200112 has 80 divisors (see below), whose sum is σ = 46437305536512. Its totient is φ = 10166776919040.

The previous prime is 22120220200093. The next prime is 22120220200151. The reversal of 22120220200112 is 21100202202122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212709953 + ... + 212813919.

Almost surely, 222120220200112 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 22120220200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218652768256).

22120220200112 is an abundant number, since it is smaller than the sum of its proper divisors (24317085336400).

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

22120220200112 is a wasteful number, since it uses less digits than its factorization.

22120220200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122226 (or 122220 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22120220200112 its reverse (21100202202122), we get a palindrome (43220422402234).

The spelling of 22120220200112 in words is "twenty-two trillion, one hundred twenty billion, two hundred twenty million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 688 731 1462 2924 5848 11696 18191 36382 72764 103967 145528 207934 291056 309247 415868 618494 782213 831736 1236988 1564426 1663472 1767439 2473976 3128852 3534878 4470581 4947952 6257704 7069756 8941162 12515408 13297621 14139512 17882324 26595242 28279024 35764648 53190484 71529296 75999877 106380968 151999754 212761936 303999508 607999016 1215998032 1891263697 3782527394 7565054788 15130109576 30260219152 32151482849 64302965698 81324338971 128605931396 162648677942 257211862792 325297355884 514423725584 650594711768 1301189423536 1382513762507 2765027525014 5530055050028 11060110100056 22120220200112