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122112202223 = 11171933383453
BaseRepresentation
bin111000110111001110…
…1000101010111101111
3102200012012122121020102
41301232131011113233
54000041210432343
6132033024141315
711552024410244
oct1615635052757
9380165577212
10122112202223
11478731779a0
121b7bb16783b
13b69098827b
145ca5a8b5cb
15329a62d3b8
hex1c6e7455ef

122112202223 has 16 divisors (see below), whose sum is σ = 141780256416. Its totient is φ = 103939645440.

The previous prime is 122112202213. The next prime is 122112202229. The reversal of 122112202223 is 322202211221.

It is a cyclic number.

It is not a de Polignac number, because 122112202223 - 212 = 122112198127 is a prime.

It is a super-2 number, since 2×1221122022232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122112202195 and 122112202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112202229) 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 15 ways as a sum of consecutive naturals, for example, 1655636 + ... + 1727817.

It is an arithmetic number, because the mean of its divisors is an integer number (8861266026).

Almost surely, 2122112202223 is an apocalyptic number.

122112202223 is a deficient number, since it is larger than the sum of its proper divisors (19668054193).

122112202223 is a wasteful number, since it uses less digits than its factorization.

122112202223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383674.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122112202223 its reverse (322202211221), we get a palindrome (444314413444).

The spelling of 122112202223 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred two thousand, two hundred twenty-three".

Divisors: 1 11 17 187 193 2123 3281 36091 3383453 37217983 57518701 632705711 653006429 7183070719 11101109293 122112202223