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122201320122 = 2327969851747
BaseRepresentation
bin111000111001111000…
…1000010101010111010
3102200102102100021000100
41301303301002222322
54000232014220442
6132045530220230
711554156040220
oct1616361025272
9380372307010
10122201320122
1147909506552
121b824b84676
13b6a628b85b
145cb3848b10
1532a338384c
hex1c73c42aba

122201320122 has 24 divisors (see below), whose sum is σ = 302593745376. Its totient is φ = 34914662856.

The previous prime is 122201320121. The next prime is 122201320147. The reversal of 122201320122 is 221023102221.

122201320122 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 320 + 122 = 666.

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 = 122201320095 and 122201320104.

It is not an unprimeable number, because it can be changed into a prime (122201320121) 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 11 ways as a sum of consecutive naturals, for example, 484925748 + ... + 484925999.

It is an arithmetic number, because the mean of its divisors is an integer number (12608072724).

Almost surely, 2122201320122 is an apocalyptic number.

122201320122 is an abundant number, since it is smaller than the sum of its proper divisors (180392425254).

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

122201320122 is a wasteful number, since it uses less digits than its factorization.

122201320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969851762 (or 969851759 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122201320122 its reverse (221023102221), we get a palindrome (343224422343).

The spelling of 122201320122 in words is "one hundred twenty-two billion, two hundred one million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 969851747 1939703494 2909555241 5819110482 6788962229 8728665723 13577924458 17457331446 20366886687 40733773374 61100660061 122201320122