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12220022100001 = 53709325199513
BaseRepresentation
bin1011000111010011001000…
…0100111001000000100001
31121021020000100110212001011
42301310302010321000201
53100203101124200001
641553444535140521
72400603353006632
oct261646204710041
947236010425034
1012220022100001
11399153399a091
1214543a4814741
136a845cb538c1
14303648c99889
15162d0e028d51
hexb1d32139021

12220022100001 has 8 divisors (see below), whose sum is σ = 12468149366760. Its totient is φ = 11972545233792.

The previous prime is 12220022099993. The next prime is 12220022100007. The reversal of 12220022100001 is 10000122002221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1953118051600 + 10266904048401 = 1397540^2 + 3204201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12220022100001 - 23 = 12220022099993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220022100007) 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 7 ways as a sum of consecutive naturals, for example, 162562180 + ... + 162637333.

It is an arithmetic number, because the mean of its divisors is an integer number (1558518670845).

Almost surely, 212220022100001 is an apocalyptic number.

It is an amenable number.

12220022100001 is a deficient number, since it is larger than the sum of its proper divisors (248127266759).

12220022100001 is an equidigital number, since it uses as much as digits as its factorization.

12220022100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325200275.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12220022100001 its reverse (10000122002221), we get a palindrome (22220144102222).

The spelling of 12220022100001 in words is "twelve trillion, two hundred twenty billion, twenty-two million, one hundred thousand, one".

Divisors: 1 53 709 37577 325199513 17235574189 230566454717 12220022100001