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122112202241 = 6179143317683
BaseRepresentation
bin111000110111001110…
…1000101011000000001
3102200012012122121021002
41301232131011120001
54000041210432431
6132033024141345
711552024410301
oct1615635053001
9380165577232
10122112202241
1147873177a07
121b7bb167855
13b690988293
145ca5a8b601
15329a62d3cb
hex1c6e745601

122112202241 has 16 divisors (see below), whose sum is σ = 125779925760. Its totient is φ = 118500520320.

The previous prime is 122112202229. The next prime is 122112202297. The reversal of 122112202241 is 142202211221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122112202241 - 214 = 122112185857 is a prime.

It is a super-2 number, since 2×1221122022412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122112204241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6896786 + ... + 6914468.

It is an arithmetic number, because the mean of its divisors is an integer number (7861245360).

Almost surely, 2122112202241 is an apocalyptic number.

It is an amenable number.

122112202241 is a deficient number, since it is larger than the sum of its proper divisors (3667723519).

122112202241 is a wasteful number, since it uses less digits than its factorization.

122112202241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19256.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122112202241 its reverse (142202211221), we get a palindrome (264314413462).

The spelling of 122112202241 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred two thousand, two hundred forty-one".

Divisors: 1 61 79 1433 4819 17683 87413 113207 1078663 1396957 6905627 25339739 85214377 1545724079 2001839381 122112202241