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22012221002120 = 2351971431946487
BaseRepresentation
bin1010000000101000111101…
…00111010001000110001000
32212221100101112021120212222
411000110132213101012020
510341122012034031440
6114452135201353212
74431221233232516
oct500243647210610
985840345246788
1022012221002120
11701736a997678
122576148338808
13c3898870b4bb
1456157bc174b6
152828c5bdb2b5
hex14051e9d1188

22012221002120 has 128 divisors (see below), whose sum is σ = 52991212953600. Its totient is φ = 8204897836800.

The previous prime is 22012221002119. The next prime is 22012221002131. The reversal of 22012221002120 is 2120012221022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22783517 + ... + 23730003.

It is an arithmetic number, because the mean of its divisors is an integer number (413993851200).

Almost surely, 222012221002120 is an apocalyptic number.

22012221002120 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 22012221002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26495606476800).

22012221002120 is an abundant number, since it is smaller than the sum of its proper divisors (30978991951480).

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

22012221002120 is a wasteful number, since it uses less digits than its factorization.

22012221002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947019 (or 947015 counting only the distinct ones).

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

Adding to 22012221002120 its reverse (2120012221022), we get a palindrome (24132233223142).

The spelling of 22012221002120 in words is "twenty-two trillion, twelve billion, two hundred twenty-one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 142 152 190 284 355 380 431 568 710 760 862 1349 1420 1724 2155 2698 2840 3448 4310 5396 6745 8189 8620 10792 13490 16378 17240 26980 30601 32756 40945 53960 61202 65512 81890 122404 153005 163780 244808 306010 327560 581419 612020 946487 1162838 1224040 1892974 2325676 2907095 3785948 4651352 4732435 5814190 7571896 9464870 11628380 17983253 18929740 23256760 35966506 37859480 67200577 71933012 89916265 134401154 143866024 179832530 268802308 336002885 359665060 407935897 537604616 672005770 719330120 815871794 1276810963 1344011540 1631743588 2039679485 2553621926 2688023080 3263487176 4079358970 5107243852 6384054815 7750782043 8158717940 10214487704 12768109630 15501564086 16317435880 25536219260 28963448687 31003128172 38753910215 51072438520 57926897374 62006256344 77507820430 115853794748 144817243435 155015640860 231707589496 289634486870 310031281720 550305525053 579268973740 1100611050106 1158537947480 2201222100212 2751527625265 4402444200424 5503055250530 11006110501060 22012221002120