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22122201212001 = 32111911760872521
BaseRepresentation
bin1010000011110101110011…
…11100011110010001100001
32220022212021020110010022200
411001322321330132101201
510344422232002241001
6115014444323123413
74442163524500032
oct501727174362141
986285236403280
1022122201212001
117059a77950110
122593520513569
13c46164a99677
14566a12528a89
152856b11c5086
hex141eb9f1e461

22122201212001 has 24 divisors (see below), whose sum is σ = 36693922268640. Its totient is φ = 12701742321600.

The previous prime is 22122201211991. The next prime is 22122201212021. The reversal of 22122201212001 is 10021210222122.

It is a happy number.

22122201212001 is a `hidden beast` number, since 221 + 2 + 220 + 1 + 21 + 200 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22122201212001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22122201212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5880434380 + ... + 5880438141.

It is an arithmetic number, because the mean of its divisors is an integer number (1528913427860).

Almost surely, 222122201212001 is an apocalyptic number.

It is an amenable number.

22122201212001 is a deficient number, since it is larger than the sum of its proper divisors (14571721056639).

22122201212001 is a wasteful number, since it uses less digits than its factorization.

22122201212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11760872557 (or 11760872554 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22122201212001 its reverse (10021210222122), we get a palindrome (32143411434123).

It can be divided in two parts, 2212220121 and 2001, that added together give a palindrome (2212222122).

The spelling of 22122201212001 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred one million, two hundred twelve thousand, one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 11760872521 35282617563 105847852689 129369597731 223456577899 388108793193 670369733697 1164326379579 2011109201091 2458022356889 7374067070667 22122201212001