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2012212120096 = 25617174319541
BaseRepresentation
bin11101010010000001001…
…100000100101000100000
321010100212112002211101101
4131102001030010220200
5230432002300320341
64140221505044144
7265243330545523
oct35220114045040
97110775084341
102012212120096
11706413313422
12285b91926654
1311799b637a39
146d56a726bba
153752019d831
hex1d481304a20

2012212120096 has 96 divisors (see below), whose sum is σ = 4088901793536. Its totient is φ = 974311296000.

The previous prime is 2012212120049. The next prime is 2012212120097. The reversal of 2012212120096 is 6900212122102.

It is a super-2 number, since 2×20122121200962 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2012212120097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102964086 + ... + 102983626.

It is an arithmetic number, because the mean of its divisors is an integer number (42592727016).

Almost surely, 22012212120096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012212120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044450896768).

2012212120096 is an abundant number, since it is smaller than the sum of its proper divisors (2076689673440).

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

2012212120096 is a wasteful number, since it uses less digits than its factorization.

2012212120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20426 (or 20418 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 2012212120096 its reverse (6900212122102), we get a palindrome (8912424242198).

The spelling of 2012212120096 in words is "two trillion, twelve billion, two hundred twelve million, one hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 61 71 122 142 244 284 488 568 743 976 1136 1486 1952 2272 2972 4331 5944 8662 11888 17324 19541 23776 34648 39082 45323 52753 69296 78164 90646 105506 138592 156328 181292 211012 312656 362584 422024 625312 725168 844048 1192001 1387411 1450336 1688096 2384002 2774822 3217933 4768004 5549644 6435866 9536008 11099288 12871732 14518963 19072016 22198576 25743464 29037926 38144032 44397152 51486928 58075852 84632071 102973856 116151704 169264142 232303408 338528284 464606816 677056568 885656743 1030846373 1354113136 1771313486 2061692746 2708226272 3542626972 4123385492 7085253944 8246770984 14170507888 16493541968 28341015776 32987083936 62881628753 125763257506 251526515012 503053030024 1006106060048 2012212120096