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2212122120120 = 2332511558616697
BaseRepresentation
bin100000001100001100110…
…000001100111110111000
321211110212121001001010100
4200030030300030332320
5242220411230320440
64412122422115400
7315551306530113
oct40141460147670
97743777031110
102212122120120
117831792a3280
122b888327bb60
131307aa104c93
14790d289b57a
153c820796230
hex2030cc0cfb8

2212122120120 has 96 divisors (see below), whose sum is σ = 7842978439920. Its totient is φ = 536272028160.

The previous prime is 2212122120107. The next prime is 2212122120121. The reversal of 2212122120120 is 210212212122.

It is a happy number.

2212122120120 is a `hidden beast` number, since 221 + 2 + 1 + 221 + 201 + 20 = 666.

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 = 2212122120093 and 2212122120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212122120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279304389 + ... + 279312308.

Almost surely, 22212122120120 is an apocalyptic number.

2212122120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212122120120 is an abundant number, since it is smaller than the sum of its proper divisors (5630856319800).

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

2212122120120 is a wasteful number, since it uses less digits than its factorization.

2212122120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558616725 (or 558616718 counting only the distinct ones).

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

Adding to 2212122120120 its reverse (210212212122), we get a palindrome (2422334332242).

The spelling of 2212122120120 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 558616697 1117233394 1675850091 2234466788 2793083485 3351700182 4468933576 5027550273 5586166970 6144783667 6703400364 8379250455 10055100546 11172333940 12289567334 13406800728 16758500910 18434351001 20110201092 22344667880 24579134668 25137751365 30723918335 33517001820 36868702002 40220402184 49158269336 50275502730 55303053003 61447836670 67034003640 73737404004 92171755005 100551005460 110606106006 122895673340 147474808008 184343510010 201102010920 221212212012 245791346680 276515265015 368687020020 442424424024 553030530030 737374040040 1106061060060 2212122120120