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122200122121 = 7111587014573
BaseRepresentation
bin111000111001110110…
…0011110001100001001
3102200102100002101122221
41301303230132030021
54000231212401441
6132045444414041
711554142620420
oct1616354361411
9380370071587
10122200122121
1147908868470
121b8246a7321
13b6a5c5c48c
145cb36162b7
1532a31e88d1
hex1c73b1e309

122200122121 has 8 divisors (see below), whose sum is σ = 152353399104. Its totient is φ = 95220874320.

The previous prime is 122200122061. The next prime is 122200122133. The reversal of 122200122121 is 121221002221.

It is a happy number.

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

It is not a de Polignac number, because 122200122121 - 221 = 122198024969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122200122095 and 122200122104.

It is not an unprimeable number, because it can be changed into a prime (122200122181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793507210 + ... + 793507363.

It is an arithmetic number, because the mean of its divisors is an integer number (19044174888).

Almost surely, 2122200122121 is an apocalyptic number.

122200122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122200122121 is a deficient number, since it is larger than the sum of its proper divisors (30153276983).

122200122121 is a wasteful number, since it uses less digits than its factorization.

122200122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587014591.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122200122121 its reverse (121221002221), we get a palindrome (243421124342).

The spelling of 122200122121 in words is "one hundred twenty-two billion, two hundred million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 77 1587014573 11109102011 17457160303 122200122121