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122112000111 = 3831094499171
BaseRepresentation
bin111000110111001110…
…0010100000001101111
3102200012012021022222210
41301232130110001233
54000041133000421
6132033015541503
711552022606063
oct1615634240157
9380165238883
10122112000111
114787304a062
121b7bb08a893
13b69091728a
145ca5a37aa3
15329a5dd576
hex1c6e71406f

122112000111 has 16 divisors (see below), whose sum is σ = 166289397120. Its totient is φ = 79689299040.

The previous prime is 122112000089. The next prime is 122112000119. The reversal of 122112000111 is 111000211221.

It is not a de Polignac number, because 122112000111 - 223 = 122103611503 is a prime.

It is a super-2 number, since 2×1221120001112 (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 (122112000119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2222445 + ... + 2276726.

It is an arithmetic number, because the mean of its divisors is an integer number (10393087320).

Almost surely, 2122112000111 is an apocalyptic number.

122112000111 is a deficient number, since it is larger than the sum of its proper divisors (44177397009).

122112000111 is a wasteful number, since it uses less digits than its factorization.

122112000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499366.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122112000111 its reverse (111000211221), we get a palindrome (233112211332).

The spelling of 122112000111 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 83 109 249 327 9047 27141 4499171 13497513 373431193 490409639 1120293579 1471228917 40704000037 122112000111