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122201122121 = 1333472808511
BaseRepresentation
bin111000111001111000…
…0010010010101001001
3102200102101222012101222
41301303300102111021
54000231441401441
6132045522051425
711554154254031
oct1616360222511
9380371865358
10122201122121
1147909390811
121b824aa9b75
13b6a621c6b0
145cb37d68c1
1532a3344d4b
hex1c73c12549

122201122121 has 8 divisors (see below), whose sum is σ = 131640574464. Its totient is φ = 112767293520.

The previous prime is 122201122103. The next prime is 122201122129. The reversal of 122201122121 is 121221102221.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122201122121 is a prime.

It is a super-2 number, since 2×1222011221212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122201122121.

It is not an unprimeable number, because it can be changed into a prime (122201122129) 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, 1360745 + ... + 1447766.

It is an arithmetic number, because the mean of its divisors is an integer number (16455071808).

Almost surely, 2122201122121 is an apocalyptic number.

It is an amenable number.

122201122121 is a deficient number, since it is larger than the sum of its proper divisors (9439452343).

122201122121 is a wasteful number, since it uses less digits than its factorization.

122201122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811871.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122201122121 its reverse (121221102221), we get a palindrome (243422224342).

The spelling of 122201122121 in words is "one hundred twenty-two billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 13 3347 43511 2808511 36510643 9400086317 122201122121