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122112222201 = 3253812521469
BaseRepresentation
bin111000110111001110…
…1001010001111111001
3102200012012200121122100
41301232131022033321
54000041212102301
6132033024414013
711552024522424
oct1615635121771
9380165617570
10122112222201
1147873190a02
121b7bb177309
13b6909943a8
145ca5a949bb
15329a634286
hex1c6e74a3f9

122112222201 has 12 divisors (see below), whose sum is σ = 176417170020. Its totient is φ = 81392987040.

The previous prime is 122112222103. The next prime is 122112222259. The reversal of 122112222201 is 102222211221.

It is a happy number.

122112222201 is a `hidden beast` number, since 1 + 221 + 1 + 222 + 220 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67402544400 + 54709677801 = 259620^2 + 233901^2 .

It is not a de Polignac number, because 122112222201 - 219 = 122111697913 is a prime.

It is a super-2 number, since 2×1221122222012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112220201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1212306 + ... + 1309163.

It is an arithmetic number, because the mean of its divisors is an integer number (14701430835).

Almost surely, 2122112222201 is an apocalyptic number.

It is an amenable number.

122112222201 is a deficient number, since it is larger than the sum of its proper divisors (54304947819).

122112222201 is a wasteful number, since it uses less digits than its factorization.

122112222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526856 (or 2526853 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122112222201 its reverse (102222211221), we get a palindrome (224334433422).

The spelling of 122112222201 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 5381 16143 48429 2521469 7564407 22693221 13568024689 40704074067 122112222201