Search a number
-
+
122222022001121 = 7196411433638957
BaseRepresentation
bin11011110010100100001000…
…001101001000000111100001
3121000202022101212012010202002
4123302210020031020013201
5112004441200113013441
61111540004411533345
734513151433440150
oct3362441015100741
9530668355163662
10122222022001121
1135a42083109619
121185b543a5a255
1353276445663b3
14222781266b597
15e1e41e0ceb9b
hex6f29083481e1

122222022001121 has 16 divisors (see below), whose sum is σ = 147263393765760. Its totient is φ = 99093124638720.

The previous prime is 122222022001091. The next prime is 122222022001129. The reversal of 122222022001121 is 121100220222221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122222022001121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122222022001093 and 122222022001102.

It is not an unprimeable number, because it can be changed into a prime (122222022001129) 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 15 ways as a sum of consecutive naturals, for example, 716734226 + ... + 716904731.

It is an arithmetic number, because the mean of its divisors is an integer number (9203962110360).

Almost surely, 2122222022001121 is an apocalyptic number.

It is an amenable number.

122222022001121 is a deficient number, since it is larger than the sum of its proper divisors (25041371764639).

122222022001121 is a wasteful number, since it uses less digits than its factorization.

122222022001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433639624.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122222022001121 its reverse (121100220222221), we get a palindrome (243322242223342).

The spelling of 122222022001121 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, twenty-two million, one thousand, one hundred twenty-one".

Divisors: 1 7 19 133 641 4487 12179 85253 1433638957 10035472699 27239140183 190673981281 918962571437 6432738000059 17460288857303 122222022001121