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122001220002112 = 2611215754289773
BaseRepresentation
bin11011101111010110011111…
…011000010110000101000000
3120222222012110210021102011221
4123233112133120112011000
5111442331444310031422
61111250330422444424
734461203651425543
oct3357263730260500
9528865423242157
10122001220002112
1135967477142700
12118247a1893714
13530c886669889
14221ac6797885a
15e187e97c03c7
hex6ef59f616140

122001220002112 has 42 divisors (see below), whose sum is σ = 266105708572634. Its totient is φ = 55455099997440.

The previous prime is 122001220002083. The next prime is 122001220002223. The reversal of 122001220002112 is 211200022100221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 110589957662976 + 11411262339136 = 10516176^2 + 3378056^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7877137143 + ... + 7877152630.

Almost surely, 2122001220002112 is an apocalyptic number.

It is an amenable number.

122001220002112 is an abundant number, since it is smaller than the sum of its proper divisors (144104488570522).

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

122001220002112 is a wasteful number, since it uses less digits than its factorization.

122001220002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15754289807 (or 15754289786 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122001220002112 its reverse (211200022100221), we get a palindrome (333201242102333).

The spelling of 122001220002112 in words is "one hundred twenty-two trillion, one billion, two hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 15754289773 31508579546 63017159092 126034318184 173297187503 252068636368 346594375006 504137272736 693188750012 1008274545472 1386377500024 1906269062533 2772755000048 3812538125066 5545510000096 7625076250132 11091020000192 15250152500264 30500305000528 61000610001056 122001220002112