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212112122220120 = 23358545120685551
BaseRepresentation
bin110000001110101000110011…
…101100101000111001011000
31000211000201110111110002110010
4300032220303230220321120
5210300221111242020440
62031042544055521520
762451411060431253
oct6016506354507130
91024021414402403
10212112122220120
1161649278272691
121b9589006892a0
139148119a462c5
143a543d25b809a
15197c7ca55d580
hexc0ea33b28e58

212112122220120 has 64 divisors (see below), whose sum is σ = 636343844221440. Its totient is φ = 56562567920000.

The previous prime is 212112122220101. The next prime is 212112122220121. The reversal of 212112122220120 is 21022221211212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112122220121) 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, 88656 + ... + 20596895.

It is an arithmetic number, because the mean of its divisors is an integer number (9942872565960).

Almost surely, 2212112122220120 is an apocalyptic number.

212112122220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112122220120 is an abundant number, since it is smaller than the sum of its proper divisors (424231722001320).

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

212112122220120 is a wasteful number, since it uses less digits than its factorization.

212112122220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20771016 (or 20771012 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 212112122220120 its reverse (21022221211212), we get a palindrome (233134343431332).

The spelling of 212112122220120 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 85451 170902 256353 341804 427255 512706 683608 854510 1025412 1281765 1709020 2050824 2563530 3418040 5127060 10254120 20685551 41371102 62056653 82742204 103427755 124113306 165484408 206855510 248226612 310283265 413711020 496453224 620566530 827422040 1241133060 2482266120 1767601018501 3535202037002 5302803055503 7070404074004 8838005092505 10605606111006 14140808148008 17676010185010 21211212222012 26514015277515 35352020370020 42422424444024 53028030555030 70704040740040 106056061110060 212112122220120