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122200131221 = 7217146698837
BaseRepresentation
bin111000111001110110…
…0100000011010010101
3102200102100002212010222
41301303230200122111
54000231213144341
6132045444524125
711554142656100
oct1616354403225
9380370085128
10122200131221
1147908874293
121b8246b0645
13b6a5c6366c
145cb3619737
1532a31eb44b
hex1c73b20695

122200131221 has 12 divisors (see below), whose sum is σ = 150513007788. Its totient is φ = 98581617792.

The previous prime is 122200131211. The next prime is 122200131253. The reversal of 122200131221 is 122131002221.

It can be written as a sum of positive squares in 2 ways, for example, as 37931847121 + 84268284100 = 194761^2 + 290290^2 .

It is not a de Polignac number, because 122200131221 - 234 = 105020262037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122200131221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200131211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73348586 + ... + 73350251.

It is an arithmetic number, because the mean of its divisors is an integer number (12542750649).

Almost surely, 2122200131221 is an apocalyptic number.

It is an amenable number.

122200131221 is a deficient number, since it is larger than the sum of its proper divisors (28312876567).

122200131221 is a wasteful number, since it uses less digits than its factorization.

122200131221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146698868 (or 146698861 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122200131221 its reverse (122131002221), we get a palindrome (244331133442).

The spelling of 122200131221 in words is "one hundred twenty-two billion, two hundred million, one hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 7 17 49 119 833 146698837 1026891859 2493880229 7188243013 17457161603 122200131221