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12202111221001 = 1310691392163073
BaseRepresentation
bin1011000110010000011010…
…0000010011110100001001
31121012111210002222221001021
42301210012200103310021
53044404410433033001
641541323354552441
72366400456026542
oct261440640236411
947174702887037
1012202111221001
113984982748649
121450a26438721
136a6867228150
1430282a22b4c9
151626118c6ba1
hexb1906813d09

12202111221001 has 16 divisors (see below), whose sum is σ = 13154181095440. Its totient is φ = 11251964067840.

The previous prime is 12202111220987. The next prime is 12202111221017. The reversal of 12202111221001 is 10012211120221.

It can be written as a sum of positive squares in 8 ways, for example, as 3080291765776 + 9121819455225 = 1755076^2 + 3020235^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202111221001 - 239 = 11652355407113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12202111221061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193428601 + ... + 193491673.

It is an arithmetic number, because the mean of its divisors is an integer number (822136318465).

Almost surely, 212202111221001 is an apocalyptic number.

It is an amenable number.

12202111221001 is a deficient number, since it is larger than the sum of its proper divisors (952069874439).

12202111221001 is a wasteful number, since it uses less digits than its factorization.

12202111221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78076.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12202111221001 its reverse (10012211120221), we get a palindrome (22214322341222).

The spelling of 12202111221001 in words is "twelve trillion, two hundred two billion, one hundred eleven million, two hundred twenty-one thousand, one".

Divisors: 1 13 1069 13897 13921 63073 180973 819949 14881549 67425037 193460137 876525481 878039233 11414510029 938623940077 12202111221001