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122112000023 = 1322739413089
BaseRepresentation
bin111000110111001110…
…0010100000000010111
3102200012012021022212112
41301232130110000113
54000041133000043
6132033015541235
711552022605606
oct1615634240027
9380165238775
10122112000023
1147873049a92
121b7bb08a81b
13b690917220
145ca5a37a3d
15329a5dd518
hex1c6e714017

122112000023 has 8 divisors (see below), whose sum is σ = 131511332400. Its totient is φ = 112713539328.

The previous prime is 122111999987. The next prime is 122112000029. The reversal of 122112000023 is 320000211221.

It is a happy number.

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

It is not a de Polignac number, because 122112000023 - 216 = 122111934487 is a prime.

It is a super-2 number, since 2×1221120000232 (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 = 122111999971 and 122112000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112000029) 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 7 ways as a sum of consecutive naturals, for example, 89063 + ... + 502151.

It is an arithmetic number, because the mean of its divisors is an integer number (16438916550).

Almost surely, 2122112000023 is an apocalyptic number.

122112000023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122112000023 is a deficient number, since it is larger than the sum of its proper divisors (9399332377).

122112000023 is a wasteful number, since it uses less digits than its factorization.

122112000023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435841.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122112000023 its reverse (320000211221), we get a palindrome (442112211244).

The spelling of 122112000023 in words is "one hundred twenty-two billion, one hundred twelve million, twenty-three", and thus it is an aban number.

Divisors: 1 13 22739 295607 413089 5370157 9393230771 122112000023