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122112000101 = 7131341890111
BaseRepresentation
bin111000110111001110…
…0010100000001100101
3102200012012021022222102
41301232130110001211
54000041133000401
6132033015541445
711552022606050
oct1615634240145
9380165238872
10122112000101
114787304a053
121b7bb08a885
13b690917280
145ca5a37a97
15329a5dd56b
hex1c6e714065

122112000101 has 8 divisors (see below), whose sum is σ = 150291692544. Its totient is φ = 96616087920.

The previous prime is 122112000089. The next prime is 122112000119. The reversal of 122112000101 is 101000211221.

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

It is a cyclic number.

It is not a de Polignac number, because 122112000101 - 234 = 104932130917 is a prime.

It is a super-2 number, since 2×1221120001012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112000401) 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, 670944965 + ... + 670945146.

It is an arithmetic number, because the mean of its divisors is an integer number (18786461568).

Almost surely, 2122112000101 is an apocalyptic number.

It is an amenable number.

122112000101 is a deficient number, since it is larger than the sum of its proper divisors (28179692443).

122112000101 is a wasteful number, since it uses less digits than its factorization.

122112000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341890131.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122112000101 its reverse (101000211221), we get a palindrome (223112211322).

The spelling of 122112000101 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred one", and thus it is an aban number.

Divisors: 1 7 13 91 1341890111 9393230777 17444571443 122112000101