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2011220012120 = 2351113134892783
BaseRepresentation
bin11101010001000110000…
…011011110110001011000
321010021022101021112002112
4131101012003132301120
5230422434310341440
64135535224451452
7265206623014454
oct35210603366130
97107271245075
102011220012120
11705a5429aa80
12285955619b88
13117870c31ab7
146d4b4a71664
15374b302a965
hex1d4460dec58

2011220012120 has 64 divisors (see below), whose sum is σ = 4974315287040. Its totient is φ = 725769865600.

The previous prime is 2011220012111. The next prime is 2011220012141. The reversal of 2011220012120 is 212100221102.

It is a junction number, because it is equal to n+sod(n) for n = 2011220012095 and 2011220012104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17388752 + ... + 17504031.

It is an arithmetic number, because the mean of its divisors is an integer number (77723676360).

Almost surely, 22011220012120 is an apocalyptic number.

2011220012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011220012120 is an abundant number, since it is smaller than the sum of its proper divisors (2963095274920).

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

2011220012120 is a wasteful number, since it uses less digits than its factorization.

2011220012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34892936 (or 34892932 counting only the distinct ones).

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

Adding to 2011220012120 its reverse (212100221102), we get a palindrome (2223320233222).

The spelling of 2011220012120 in words is "two trillion, eleven billion, two hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 131 220 262 440 524 655 1048 1310 1441 2620 2882 5240 5764 7205 11528 14410 28820 57640 34892783 69785566 139571132 174463915 279142264 348927830 383820613 697855660 767641226 1395711320 1535282452 1919103065 3070564904 3838206130 4570954573 7676412260 9141909146 15352824520 18283818292 22854772865 36567636584 45709545730 50280500303 91419091460 100561000606 182838182920 201122001212 251402501515 402244002424 502805003030 1005610006060 2011220012120