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110112122122112 = 2711101774303289
BaseRepresentation
bin11001000010010101111001…
…111011001010111110000000
3112102212121122010002201202102
4121002111321323022332000
5103413034111230401422
61030104451030005532
732123224015032125
oct3102257173127600
9472777563081672
10110112122122112
11320a331a359030
1210424572aa68a8
1349596b4333506
141d29652ccc74c
15cae407c92192
hex642579ecaf80

110112122122112 has 64 divisors (see below), whose sum is σ = 241675542874800. Its totient is φ = 49555410432000.

The previous prime is 110112122122091. The next prime is 110112122122117. The reversal of 110112122122112 is 211221221211011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112122122117) by changing a digit.

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, 387009437 + ... + 387293852.

Almost surely, 2110112122122112 is an apocalyptic number.

It is an amenable number.

110112122122112 is an abundant number, since it is smaller than the sum of its proper divisors (131563420752688).

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

110112122122112 is a wasteful number, since it uses less digits than its factorization.

110112122122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774303415 (or 774303403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 110112122122112 its reverse (211221221211011), we get a palindrome (321333343333123).

The spelling of 110112122122112 in words is "one hundred ten trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 352 404 704 808 1111 1408 1616 2222 3232 4444 6464 8888 12928 17776 35552 71104 142208 774303289 1548606578 3097213156 6194426312 8517336179 12388852624 17034672358 24777705248 34069344716 49555410496 68138689432 78204632189 99110820992 136277378864 156409264378 272554757728 312818528756 545109515456 625637057512 860250954079 1090219030912 1251274115024 1720501908158 2502548230048 3441003816316 5005096460096 6882007632632 10010192920192 13764015265264 27528030530528 55056061061056 110112122122112