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22011212011120 = 2455231651931847
BaseRepresentation
bin1010000000100111000100…
…11110010001011001110000
32212221020210012200112102221
411000103202132101121300
510341112430233323440
6114451451115250424
74431154232034013
oct500234236213160
985836705615387
1022011212011120
1170169a2392812
122575b06449a14
13c38857673ac7
145614c3c0937a
15282867330d4a
hex1404e2791670

22011212011120 has 80 divisors (see below), whose sum is σ = 51278632957440. Its totient is φ = 8786842336512.

The previous prime is 22011212011097. The next prime is 22011212011127. The reversal of 22011212011120 is 2111021211022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22011212011094 and 22011212011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011212011127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691139037 + ... + 691170883.

It is an arithmetic number, because the mean of its divisors is an integer number (640982911968).

Almost surely, 222011212011120 is an apocalyptic number.

22011212011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011212011120 is an abundant number, since it is smaller than the sum of its proper divisors (29267420946320).

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

22011212011120 is a wasteful number, since it uses less digits than its factorization.

22011212011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48902 (or 48896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22011212011120 its reverse (2111021211022), we get a palindrome (24122233222142).

The spelling of 22011212011120 in words is "twenty-two trillion, eleven billion, two hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 523 1046 2092 2615 4184 5230 8368 10460 16519 20920 31847 33038 41840 63694 66076 82595 127388 132152 159235 165190 254776 264304 318470 330380 509552 636940 660760 1273880 1321520 2547760 8639437 16655981 17278874 33311962 34557748 43197185 66623924 69115496 83279905 86394370 133247848 138230992 166559810 172788740 266495696 333119620 345577480 526080593 666239240 691154960 1052161186 1332478480 2104322372 2630402965 4208644744 5260805930 8417289488 10521611860 21043223720 42086447440 275140150139 550280300278 1100560600556 1375700750695 2201121201112 2751401501390 4402242402224 5502803002780 11005606005560 22011212011120