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2122121222112 = 253113195623269
BaseRepresentation
bin11110111000011000010…
…010000001011111100000
321111212120021110201011110
4132320120102001133200
5234232101013101422
64302520010343320
7306214066523343
oct36703022013740
97455507421143
102122121222112
11748a94119531
122a334612ab40
1312516605a048
14749d580845a
153a3042dd60c
hex1ee184817e0

2122121222112 has 48 divisors (see below), whose sum is σ = 5619865300560. Its totient is φ = 701113792512.

The previous prime is 2122121222099. The next prime is 2122121222119. The reversal of 2122121222112 is 2112221212212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122121222119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97800787 + ... + 97822482.

It is an arithmetic number, because the mean of its divisors is an integer number (117080527095).

Almost surely, 22122121222112 is an apocalyptic number.

It is an amenable number.

2122121222112 is an abundant number, since it is smaller than the sum of its proper divisors (3497744078448).

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

2122121222112 is a wasteful number, since it uses less digits than its factorization.

2122121222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195623395 (or 195623387 counting only the distinct ones).

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

Adding to 2122121222112 its reverse (2112221212212), we get a palindrome (4234342434324).

The spelling of 2122121222112 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 195623269 391246538 586869807 782493076 1173739614 1564986152 2347479228 3129972304 4694958456 6259944608 9389916912 18779833824 22105429397 44210858794 66316288191 88421717588 132632576382 176843435176 265265152764 353686870352 530530305528 707373740704 1061060611056 2122121222112