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122201122122 = 2332262983743
BaseRepresentation
bin111000111001111000…
…0010010010101001010
3102200102101222012102000
41301303300102111022
54000231441401442
6132045522051430
711554154254032
oct1616360222512
9380371865360
10122201122122
1147909390812
121b824aa9b76
13b6a621c6b1
145cb37d68c2
1532a3344d4c
hex1c73c1254a

122201122122 has 16 divisors (see below), whose sum is σ = 271558049280. Its totient is φ = 40733707356.

The previous prime is 122201122103. The next prime is 122201122129. The reversal of 122201122122 is 221221102221.

It is a happy number.

It is a super-2 number, since 2×1222011221222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122201122095 and 122201122104.

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, 1131491818 + ... + 1131491925.

It is an arithmetic number, because the mean of its divisors is an integer number (16972378080).

Almost surely, 2122201122122 is an apocalyptic number.

122201122122 is an abundant number, since it is smaller than the sum of its proper divisors (149356927158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122201122122 is a wasteful number, since it uses less digits than its factorization.

122201122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262983754 (or 2262983748 counting only the distinct ones).

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

Adding to 122201122122 its reverse (221221102221), we get a palindrome (343422224343).

The spelling of 122201122122 in words is "one hundred twenty-two billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 2262983743 4525967486 6788951229 13577902458 20366853687 40733707374 61100561061 122201122122