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22212112120020 = 2234531214393201
BaseRepresentation
bin1010000110011101010010…
…00011010111100011010100
32220122110100021200111020000
411003032221003113203110
510402410401200320040
6115124034202011300
74451525562552144
oct503165103274324
986573307614200
1022212112120020
117094116250069
1225a8a334a6b30
13c517932c70a4
1456b101674924
15287bc4804130
hex1433a90d78d4

22212112120020 has 120 divisors (see below), whose sum is σ = 69702560504808. Its totient is φ = 5921330688000.

The previous prime is 22212112120019. The next prime is 22212112120057. The reversal of 22212112120020 is 2002121121222.

It is a happy number.

22212112120020 is a `hidden beast` number, since 2 + 221 + 211 + 212 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1482048151236 + 20730063968784 = 1217394^2 + 4553028^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22212112119975 and 22212112120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2859420 + ... + 7252620.

Almost surely, 222212112120020 is an apocalyptic number.

22212112120020 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 22212112120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34851280252404).

22212112120020 is an abundant number, since it is smaller than the sum of its proper divisors (47490448384788).

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

22212112120020 is a wasteful number, since it uses less digits than its factorization.

22212112120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396343 (or 4396332 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22212112120020 its reverse (2002121121222), we get a palindrome (24214233241242).

The spelling of 22212112120020 in words is "twenty-two trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3121 6242 9363 12484 15605 18726 28089 31210 37452 46815 56178 62420 84267 93630 112356 140445 168534 187260 252801 280890 337068 421335 505602 561780 842670 1011204 1264005 1685340 2528010 4393201 5056020 8786402 13179603 17572804 21966005 26359206 39538809 43932010 52718412 65898015 79077618 87864020 118616427 131796030 158155236 197694045 237232854 263592060 355849281 395388090 474465708 593082135 711698562 790776180 1186164270 1423397124 1779246405 2372328540 3558492810 7116985620 13711180321 27422360642 41133540963 54844721284 68555901605 82267081926 123400622889 137111803210 164534163852 205667704815 246801245778 274223606420 370201868667 411335409630 493602491556 617003114445 740403737334 822670819260 1110605606001 1234006228890 1480807474668 1851009343335 2221211212002 2468012457780 3702018686670 4442422424004 5553028030005 7404037373340 11106056060010 22212112120020