Search a number
-
+
122110112 = 25191071877
BaseRepresentation
bin1110100011101…
…00000010100000
322111202211120202
413101310002200
5222230010422
620041124332
73011630105
oct721640240
9274684522
10122110112
1162a23153
1234a896a8
131c3b5507
1412308aac
15aac0b92
hex74740a0

122110112 has 48 divisors (see below), whose sum is σ = 255558240. Its totient is φ = 57270528.

The previous prime is 122110103. The next prime is 122110123. The reversal of 122110112 is 211011221.

It is a junction number, because it is equal to n+sod(n) for n = 122110093 and 122110102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64118 + ... + 65994.

It is an arithmetic number, because the mean of its divisors is an integer number (5324130).

Almost surely, 2122110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127779120).

122110112 is an abundant number, since it is smaller than the sum of its proper divisors (133448128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122110112 is a wasteful number, since it uses less digits than its factorization.

122110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2005 counting only the distinct ones).

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

The square root of 122110112 is about 11050.3444290212. The cubic root of 122110112 is about 496.1167345775.

Adding to 122110112 its reverse (211011221), we get a palindrome (333121333).

The spelling of 122110112 in words is "one hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 107 152 214 304 428 608 856 1712 1877 2033 3424 3754 4066 7508 8132 15016 16264 30032 32528 35663 60064 65056 71326 142652 200839 285304 401678 570608 803356 1141216 1606712 3213424 3815941 6426848 7631882 15263764 30527528 61055056 122110112