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122122200102201 = 32131043779488053
BaseRepresentation
bin11011110001000111001010…
…010110110011010100111001
3121000101202202002200021020200
4123301013022112303110321
5112001322231211232301
61111422055250112413
734503015651340605
oct3361071226632471
9530352662607220
10122122200102201
1135a038092694a2
121184412587b709
13531b0c6914410
142222a6312c505
15e1ba2a825c86
hex6f11ca5b3539

122122200102201 has 12 divisors (see below), whose sum is σ = 189967866825828. Its totient is φ = 75152123139744.

The previous prime is 122122200102193. The next prime is 122122200102211. The reversal of 122122200102201 is 102201002221221.

It is a happy number.

122122200102201 is a `hidden beast` number, since 1 + 2 + 212 + 220 + 0 + 10 + 220 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54623569882176 + 67498630220025 = 7390776^2 + 8215755^2 .

It is not a de Polignac number, because 122122200102201 - 23 = 122122200102193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122122200102211) 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, 521889743910 + ... + 521889744143.

It is an arithmetic number, because the mean of its divisors is an integer number (15830655568819).

Almost surely, 2122122200102201 is an apocalyptic number.

It is an amenable number.

122122200102201 is a deficient number, since it is larger than the sum of its proper divisors (67845666723627).

122122200102201 is a wasteful number, since it uses less digits than its factorization.

122122200102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043779488072 (or 1043779488069 counting only the distinct ones).

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

Adding to 122122200102201 its reverse (102201002221221), we get a palindrome (224323202323422).

The spelling of 122122200102201 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred million, one hundred two thousand, two hundred one".

Divisors: 1 3 9 13 39 117 1043779488053 3131338464159 9394015392477 13569133344689 40707400034067 122122200102201