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22211211212120 = 2357471687782007
BaseRepresentation
bin1010000110011011100110…
…10110101011010101011000
32220122101000111110121220202
411003031303112223111120
510402402030032241440
6115123404540241332
74451464343142410
oct503156326532530
986571014417822
1022211211212120
1170937a3758687
1225a8821840248
13c5167b7733a8
1456b057b5d640
15287b70698615
hex1433735ab558

22211211212120 has 64 divisors (see below), whose sum is σ = 58329746196480. Its totient is φ = 7453245338496.

The previous prime is 22211211212111. The next prime is 22211211212159. The reversal of 22211211212120 is 2121211211222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22211211212092 and 22211211212101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843877844 + ... + 843904163.

It is an arithmetic number, because the mean of its divisors is an integer number (911402284320).

Almost surely, 222211211212120 is an apocalyptic number.

22211211212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211211212120 is an abundant number, since it is smaller than the sum of its proper divisors (36118534984360).

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

22211211212120 is a wasteful number, since it uses less digits than its factorization.

22211211212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687782072 (or 1687782068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 22211211212120 its reverse (2121211211222), we get a palindrome (24332422423342).

The spelling of 22211211212120 in words is "twenty-two trillion, two hundred eleven billion, two hundred eleven million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 1687782007 3375564014 6751128028 8438910035 11814474049 13502256056 16877820070 23628948098 33755640140 47257896196 59072370245 67511280280 79325754329 94515792392 118144740490 158651508658 236289480980 317303017316 396628771645 472578961960 555280280303 634606034632 793257543290 1110560560606 1586515086580 2221121121212 2776401401515 3173030173160 4442242242424 5552802803030 11105605606060 22211211212120