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22120221100012 = 22729673169323909
BaseRepresentation
bin1010000011110010000111…
…11010111100011111101100
32220022200011020112000022121
411001321003322330133230
510344404203100200022
6115013520030322324
74442063462016550
oct501710372743754
986280136460277
1022120221100012
117059151157722
1225930693593a4
13c45c0a796779
145668a5569860
152855e74402c7
hex141e43ebc7ec

22120221100012 has 96 divisors (see below), whose sum is σ = 45862968412800. Its totient is φ = 9133813850112.

The previous prime is 22120221099997. The next prime is 22120221100027. The reversal of 22120221100012 is 21000112202122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22120221099997) and next prime (22120221100027).

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, 925171914 + ... + 925195822.

It is an arithmetic number, because the mean of its divisors is an integer number (477739254300).

Almost surely, 222120221100012 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 22120221100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22931484206400).

22120221100012 is an abundant number, since it is smaller than the sum of its proper divisors (23742747312788).

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

22120221100012 is a wasteful number, since it uses less digits than its factorization.

22120221100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26315 (or 26313 counting only the distinct ones).

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

Adding to 22120221100012 its reverse (21000112202122), we get a palindrome (43120333302134).

The spelling of 22120221100012 in words is "twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred thousand, twelve".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 673 812 1346 1693 2692 3386 4711 6772 9422 11851 18844 19517 23702 23909 39034 47404 47818 49097 78068 95636 98194 136619 167363 196388 273238 334726 343679 546476 669452 687358 693361 1139389 1374716 1386722 2278778 2773444 4557556 4853527 7975723 9707054 15951446 16090757 19414108 31902892 32181514 33042281 40477937 64363028 66084562 80955874 112635299 132169124 161911748 225270598 231295967 283345559 450541196 462591934 466631953 566691118 925183868 933263906 1133382236 1173860173 1866527812 2347720346 3266423671 4695440692 6532847342 8217021211 13065694684 16434042422 27241651601 32868084844 54483303202 108966606404 190691561207 381383122414 762766244828 790007896429 1580015792858 3160031585716 5530055275003 11060110550006 22120221100012