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2122021201120 = 25525435215349
BaseRepresentation
bin11110111000010010010…
…100011110010011100000
321111212022022021010011021
4132320102110132103200
5234231344411413440
64302502034455224
7306211443413062
oct36702224362340
97455268233137
102122021201120
11748a42713257
122a3318734514
1312514b409b22
14749c640d732
153a2ea63284a
hex1ee1251e4e0

2122021201120 has 48 divisors (see below), whose sum is σ = 5015247451200. Its totient is φ = 848474535424.

The previous prime is 2122021201099. The next prime is 2122021201123. The reversal of 2122021201120 is 211021202212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2122021201094 and 2122021201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122021201123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2200795 + ... + 3014554.

It is an arithmetic number, because the mean of its divisors is an integer number (104484321900).

Almost surely, 22122021201120 is an apocalyptic number.

2122021201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122021201120 is an abundant number, since it is smaller than the sum of its proper divisors (2893226250080).

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

2122021201120 is a wasteful number, since it uses less digits than its factorization.

2122021201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217907 (or 5217899 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122021201120 its reverse (211021202212), we get a palindrome (2333042403332).

The spelling of 2122021201120 in words is "two trillion, one hundred twenty-two billion, twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2543 5086 10172 12715 20344 25430 40688 50860 81376 101720 203440 406880 5215349 10430698 20861396 26076745 41722792 52153490 83445584 104306980 166891168 208613960 417227920 834455840 13262632507 26525265014 53050530028 66313162535 106101060056 132626325070 212202120112 265252650140 424404240224 530505300280 1061010600560 2122021201120