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2122221212122 = 211218793466637
BaseRepresentation
bin11110111000011110001…
…111011101000111011010
321111212211020121201200011
4132320132033131013122
5234232302112241442
64302533541432134
7306216422444404
oct36703617350732
97455736551604
102122221212122
11749035603500
122a337370b64a
1312518099912b
1474a04bd5b74
153a30ce90117
hex1ee1e3dd1da

2122221212122 has 24 divisors (see below), whose sum is σ = 3499227834228. Its totient is φ = 964592608320.

The previous prime is 2122221212051. The next prime is 2122221212129. The reversal of 2122221212122 is 2212121222212.

It can be written as a sum of positive squares in 2 ways, for example, as 2121453423441 + 767788681 = 1456521^2 + 27709^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

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

It is a junction number, because it is equal to n+sod(n) for n = 2122221212093 and 2122221212102.

It is not an unprimeable number, because it can be changed into a prime (2122221212129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4314588 + ... + 4781224.

Almost surely, 22122221212122 is an apocalyptic number.

2122221212122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2122221212122 is a deficient number, since it is larger than the sum of its proper divisors (1377006622106).

2122221212122 is a wasteful number, since it uses less digits than its factorization.

2122221212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485454 (or 485443 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

Adding to 2122221212122 its reverse (2212121222212), we get a palindrome (4334342434334).

The spelling of 2122221212122 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 121 242 18793 37586 206723 413446 466637 933274 2273953 4547906 5133007 10266014 56463077 112926154 8769509141 17539018282 96464600551 192929201102 1061110606061 2122221212122