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122121022012223 = 13179117144816419
BaseRepresentation
bin11011110001000110000100…
…001000101111101100111111
3121000101122200222220002121112
4123301012010020233230333
5112001312323113342343
61111421342323352235
734502644524625133
oct3361060410575477
9530348628802545
10122121022012223
1135a03264268013
1211843a5722267b
13531ac69821860
1422229908a33c3
15e1b9ac1b7218
hex6f118422fb3f

122121022012223 has 16 divisors (see below), whose sum is σ = 132362607484800. Its totient is φ = 112001606552160.

The previous prime is 122121022012051. The next prime is 122121022012229. The reversal of 122121022012223 is 322210220121221.

It is not a de Polignac number, because 122121022012223 - 212 = 122121022008127 is a prime.

It is a super-3 number, since 3×1221210220122233 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121022012229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19683293 + ... + 25133126.

It is an arithmetic number, because the mean of its divisors is an integer number (8272662967800).

Almost surely, 2122121022012223 is an apocalyptic number.

122121022012223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122121022012223 is a deficient number, since it is larger than the sum of its proper divisors (10241585472577).

122121022012223 is a wasteful number, since it uses less digits than its factorization.

122121022012223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44817782.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 122121022012223 its reverse (322210220121221), we get a palindrome (444331242133444).

The spelling of 122121022012223 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty-two million, twelve thousand, two hundred twenty-three".

Divisors: 1 13 179 1171 2327 15223 209609 2724917 44816419 582613447 8022139001 52480026649 104287807013 682240346437 9393924770171 122121022012223