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212022121010000 = 245473028887443
BaseRepresentation
bin110000001101010100111111…
…001101010001001101010000
31000210201010011011021220100112
4300031110333031101031100
5210242232300434310000
62030533341233340452
762442043544654540
oct6015247715211520
91023633134256315
10212022121010000
11616140929a53a4
121b943383407728
13913c7a58bc2a2
143a4dcd5483320
15197a2ae043235
hexc0d53f351350

212022121010000 has 100 divisors (see below), whose sum is σ = 586659151253472. Its totient is φ = 72693298608000.

The previous prime is 212022121009967. The next prime is 212022121010071. The reversal of 212022121010000 is 10121220212.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×2120221210100003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1514373722 + ... + 1514513721.

Almost surely, 2212022121010000 is an apocalyptic number.

212022121010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022121010000 is an abundant number, since it is smaller than the sum of its proper divisors (374637030243472).

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

212022121010000 is an equidigital number, since it uses as much as digits as its factorization.

212022121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028887478 (or 3028887457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212022121010000 its reverse (10121220212), we get a palindrome (212032242230212).

The spelling of 212022121010000 in words is "two hundred twelve trillion, twenty-two billion, one hundred twenty-one million, ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 3028887443 6057774886 12115549772 15144437215 21202212101 24231099544 30288874430 42404424202 48462199088 60577748860 75722186075 84808848404 106011060505 121155497720 151444372150 169617696808 212022121010 242310995440 302888744300 339235393616 378610930375 424044242020 530055302525 605777488600 757221860750 848088484040 1060110605050 1211554977200 1514443721500 1696176968080 1893054651875 2120221210100 2650276512625 3028887443000 3786109303750 4240442420200 5300553025250 6057774886000 7572218607500 8480884840400 10601106050500 13251382563125 15144437215000 21202212101000 26502765126250 30288874430000 42404424202000 53005530252500 106011060505000 212022121010000