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122201212210112 = 267829329035661
BaseRepresentation
bin11011110010010000101111…
…110110000100101111000000
3121000200022200120220020001202
4123302100233312010233000
5112004121040311210422
61111522243433520332
734511513646230420
oct3362205766045700
9530608616806052
10122201212210112
1135a34274571632
12118574b68730a8
1353256a918b1a9
1422267da9cc480
15e1db02205b92
hex6f242fd84bc0

122201212210112 has 56 divisors (see below), whose sum is σ = 277469193051360. Its totient is φ = 52308773084160.

The previous prime is 122201212210109. The next prime is 122201212210123. The reversal of 122201212210112 is 211012212102221.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164146439 + ... + 164889222.

Almost surely, 2122201212210112 is an apocalyptic number.

It is an amenable number.

122201212210112 is an abundant number, since it is smaller than the sum of its proper divisors (155267980841248).

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

122201212210112 is an equidigital number, since it uses as much as digits as its factorization.

122201212210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329036509 (or 329036499 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122201212210112 its reverse (211012212102221), we get a palindrome (333213424312333).

The spelling of 122201212210112 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twelve million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 829 1658 3316 5803 6632 11606 13264 23212 26528 46424 53056 92848 185696 371392 329035661 658071322 1316142644 2303249627 2632285288 4606499254 5264570576 9212998508 10529141152 18425997016 21058282304 36851994032 73703988064 147407976128 272770562969 545541125938 1091082251876 1909393940783 2182164503752 3818787881566 4364329007504 7637575763132 8728658015008 15275151526264 17457316030016 30550303052528 61100606105056 122201212210112