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2122102012112 = 244311388130983
BaseRepresentation
bin11110111000010111001…
…000101111100011010000
321111212111221022201222222
4132320113020233203100
5234232031103341422
64302514042520212
7306213444324455
oct36702710574320
97455457281888
102122102012112
11748a842987a5
122a333b806068
13125162092394
14749d304782c
153a302796842
hex1ee1722f8d0

2122102012112 has 80 divisors (see below), whose sum is σ = 4249377272448. Its totient is φ = 1026004869120.

The previous prime is 2122102012073. The next prime is 2122102012117. The reversal of 2122102012112 is 2112102012212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122102012117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68476973 + ... + 68507955.

Almost surely, 22122102012112 is an apocalyptic number.

It is an amenable number.

2122102012112 is an abundant number, since it is smaller than the sum of its proper divisors (2127275260336).

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

2122102012112 is a wasteful number, since it uses less digits than its factorization.

2122102012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32028 (or 32022 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2122102012112 its reverse (2112102012212), we get a palindrome (4234204024324).

The spelling of 2122102012112 in words is "two trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 43 86 113 172 226 344 452 688 881 904 1762 1808 3524 4859 7048 9718 14096 19436 30983 37883 38872 61966 75766 77744 99553 123932 151532 199106 247864 303064 398212 495728 606128 796424 1332269 1592848 2664538 3501079 4280779 5329076 7002158 8561558 10658152 14004316 17123116 21316304 27296023 28008632 34246232 54592046 56017264 68492464 109184092 150546397 218368184 301092794 436736368 602185588 1173728989 1204371176 2347457978 2408742352 3084450599 4694915956 6168901198 9389831912 12337802396 18779663824 24675604792 49351209584 132631375757 265262751514 530525503028 1061051006056 2122102012112