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211222110220120 = 235191069259984873
BaseRepresentation
bin110000000001101011111010…
…110110010010111101011000
31000200212122012000211222102201
4300001223322312102331120
5210141130340204020440
62025122033045535544
762330202540313246
oct6001537266227530
91020778160758381
10211222110220120
116133588074104a
121b8343154145b4
1390b220c63568c
143a232c190d796
151964589d1e19a
hexc01afad92f58

211222110220120 has 64 divisors (see below), whose sum is σ = 500730867324000. Its totient is φ = 79967186869248.

The previous prime is 211222110220097. The next prime is 211222110220123. The reversal of 211222110220120 is 21022011222112.

211222110220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112221102201202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222110220123) 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, 129179997 + ... + 130804876.

Almost surely, 2211222110220120 is an apocalyptic number.

211222110220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222110220120 is an abundant number, since it is smaller than the sum of its proper divisors (289508757103880).

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

211222110220120 is a wasteful number, since it uses less digits than its factorization.

211222110220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259985972 (or 259985968 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 211222110220120 its reverse (21022011222112), we get a palindrome (232244121442232).

The spelling of 211222110220120 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1069 2138 4276 5345 8552 10690 20311 21380 40622 42760 81244 101555 162488 203110 406220 812440 259984873 519969746 1039939492 1299924365 2079878984 2599848730 4939712587 5199697460 9879425174 10399394920 19758850348 24698562935 39517700696 49397125870 98794251740 197588503480 277923829237 555847658474 1111695316948 1389619146185 2223390633896 2779238292370 5280552755503 5558476584740 10561105511006 11116953169480 21122211022012 26402763777515 42244422044024 52805527555030 105611055110060 211222110220120