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22101212120120 = 2357233338767813
BaseRepresentation
bin1010000011001110101101…
…11001011100010000111000
32220020212002110202210002022
411001213112321130100320
510344101240300320440
6115001053502054012
74440521432243240
oct501472671342070
986225073683068
1022101212120120
117051087078791
12258b44327a308
13c4419b503883
145659c0b34b20
15284d836cecb5
hex1419d6e5c438

22101212120120 has 64 divisors (see below), whose sum is σ = 57075601302720. Its totient is φ = 7545036708864.

The previous prime is 22101212120107. The next prime is 22101212120123. The reversal of 22101212120120 is 2102121210122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101212120123) 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, 169318667 + ... + 169449146.

It is an arithmetic number, because the mean of its divisors is an integer number (891806270355).

Almost surely, 222101212120120 is an apocalyptic number.

22101212120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101212120120 is an abundant number, since it is smaller than the sum of its proper divisors (34974389182600).

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

22101212120120 is a wasteful number, since it uses less digits than its factorization.

22101212120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338768064 (or 338768060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22101212120120 its reverse (2102121210122), we get a palindrome (24203333330242).

The spelling of 22101212120120 in words is "twenty-two trillion, one hundred one billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 233 280 466 932 1165 1631 1864 2330 3262 4660 6524 8155 9320 13048 16310 32620 65240 338767813 677535626 1355071252 1693839065 2371374691 2710142504 3387678130 4742749382 6775356260 9485498764 11856873455 13550712520 18970997528 23713746910 47427493820 78932900429 94854987640 157865800858 315731601716 394664502145 552530303003 631463203432 789329004290 1105060606006 1578658008580 2210121212012 2762651515015 3157316017160 4420242424024 5525303030030 11050606060060 22101212120120