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122010222122001 = 3213556691346889
BaseRepresentation
bin11011101111011110110111…
…111100101101010000010001
3121000000001201011100111010200
4123233132313330231100101
5111443003413330401001
61111254420001245413
734461643021246203
oct3357366774552021
9530001634314120
10122010222122001
1135970276651604
1211826494633869
13531068c6aca35
14221b47d382773
15e18b74c6a086
hex6ef7b7f2d411

122010222122001 has 6 divisors (see below), whose sum is σ = 176236987509570. Its totient is φ = 81340148081328.

The previous prime is 122010222121951. The next prime is 122010222122017. The reversal of 122010222122001 is 100221222010221.

It is a happy number.

122010222122001 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 2 + 221 + 220 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106647342080400 + 15362880041601 = 10327020^2 + 3919551^2 .

It is not a de Polignac number, because 122010222122001 - 217 = 122010221990929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122010222129001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6778345673436 + ... + 6778345673453.

It is an arithmetic number, because the mean of its divisors is an integer number (29372831251595).

Almost surely, 2122010222122001 is an apocalyptic number.

It is an amenable number.

122010222122001 is a deficient number, since it is larger than the sum of its proper divisors (54226765387569).

122010222122001 is a wasteful number, since it uses less digits than its factorization.

122010222122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13556691346895 (or 13556691346892 counting only the distinct ones).

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

Adding to 122010222122001 its reverse (100221222010221), we get a palindrome (222231444132222).

The spelling of 122010222122001 in words is "one hundred twenty-two trillion, ten billion, two hundred twenty-two million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 13556691346889 40670074040667 122010222122001