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12220122012201 = 334447101775829
BaseRepresentation
bin1011000111010011100000…
…0010000001101000101001
31121021020021022110220211000
42301310320002001220221
53100203302213342301
641553502504425213
72400606005155065
oct261647002015051
947236238426730
1012220122012201
113991585330654
121454412178209
136a847776644c
14303658266aa5
15162d17bb2786
hexb1d38081a29

12220122012201 has 16 divisors (see below), whose sum is σ = 18107955673600. Its totient is φ = 8144915963184.

The previous prime is 12220122012191. The next prime is 12220122012223. The reversal of 12220122012201 is 10221022102221.

It is a happy number.

12220122012201 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 220 + 1 + 220 + 1 = 666.

It is not a de Polignac number, because 12220122012201 - 221 = 12220119915049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220122012001) 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, 50767846 + ... + 51007983.

It is an arithmetic number, because the mean of its divisors is an integer number (1131747229600).

Almost surely, 212220122012201 is an apocalyptic number.

It is an amenable number.

12220122012201 is a deficient number, since it is larger than the sum of its proper divisors (5887833661399).

12220122012201 is a wasteful number, since it uses less digits than its factorization.

12220122012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101780285 (or 101780279 counting only the distinct ones).

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

Adding to 12220122012201 its reverse (10221022102221), we get a palindrome (22441144114422).

The spelling of 12220122012201 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, twelve thousand, two hundred one".

Divisors: 1 3 9 27 4447 13341 40023 120069 101775829 305327487 915982461 2747947383 452597111563 1357791334689 4073374004067 12220122012201