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122112110201 = 1095443205823
BaseRepresentation
bin111000110111001110…
…0101110111001111001
3102200012012110221000012
41301232130232321321
54000041200011301
6132033022151305
711552023545044
oct1615634567171
9380165427005
10122112110201
1147873114844
121b7bb122535
13b690955413
145ca5a65c5b
15329a610ebb
hex1c6e72ee79

122112110201 has 8 divisors (see below), whose sum is σ = 123255644160. Its totient is φ = 120968998992.

The previous prime is 122112110171. The next prime is 122112110213. The reversal of 122112110201 is 102011211221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122112110201 is a prime.

It is a super-2 number, since 2×1221121102012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122112110251) 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, 490376 + ... + 696198.

It is an arithmetic number, because the mean of its divisors is an integer number (15406955520).

Almost surely, 2122112110201 is an apocalyptic number.

It is an amenable number.

122112110201 is a deficient number, since it is larger than the sum of its proper divisors (1143533959).

122112110201 is a wasteful number, since it uses less digits than its factorization.

122112110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211375.

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

Adding to 122112110201 its reverse (102011211221), we get a palindrome (224123321422).

The spelling of 122112110201 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred ten thousand, two hundred one".

Divisors: 1 109 5443 205823 593287 22434707 1120294589 122112110201