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122110112201 = 7112433332951
BaseRepresentation
bin111000110111001010…
…1000111000111001001
3102200012001201102021012
41301232111013013021
54000040142042301
6132032511253305
711552000554010
oct1615625070711
9380161642235
10122110112201
1147871a7a700
121b7ba51a235
13b690405b7c
145ca56a5a77
15329a368ebb
hex1c6e5471c9

122110112201 has 24 divisors (see below), whose sum is σ = 153749242752. Its totient is φ = 94930704000.

The previous prime is 122110112197. The next prime is 122110112213. The reversal of 122110112201 is 102211011221.

It is not a de Polignac number, because 122110112201 - 22 = 122110112197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122110112251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200276 + ... + 533226.

It is an arithmetic number, because the mean of its divisors is an integer number (6406218448).

Almost surely, 2122110112201 is an apocalyptic number.

122110112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122110112201 is a deficient number, since it is larger than the sum of its proper divisors (31639130551).

122110112201 is a wasteful number, since it uses less digits than its factorization.

122110112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333413 (or 333402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122110112201 its reverse (102211011221), we get a palindrome (224321123422).

It can be divided in two parts, 12211011220 and 1, that added together give a palindrome (12211011221).

The spelling of 122110112201 in words is "one hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, two hundred one".

Divisors: 1 7 11 77 121 433 847 3031 4763 33341 52393 332951 366751 2330657 3662461 25637227 40287071 144167783 282009497 1009174481 1585845613 11100919291 17444301743 122110112201