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122106888 = 23321695929
BaseRepresentation
bin1110100011100…
…11010000001000
322111202200011100
413101303100020
5222224410023
620041101400
73011614521
oct721632010
9274680140
10122106888
1162a20792
1234a87860
131c3b3bc7
1412307848
15aabec43
hex7473408

122106888 has 24 divisors (see below), whose sum is σ = 330706350. Its totient is φ = 40702272.

The previous prime is 122106883. The next prime is 122106889. The reversal of 122106888 is 888601221.

It can be written as a sum of positive squares in only one way, i.e., 68260644 + 53846244 = 8262^2 + 7338^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122106883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 847893 + ... + 848036.

Almost surely, 2122106888 is an apocalyptic number.

122106888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122106888 is an abundant number, since it is smaller than the sum of its proper divisors (208599462).

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

122106888 is a wasteful number, since it uses less digits than its factorization.

122106888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695941 (or 1695934 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 122106888 is about 11050.1985502524. The cubic root of 122106888 is about 496.1123683150.

The spelling of 122106888 in words is "one hundred twenty-two million, one hundred six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1695929 3391858 5087787 6783716 10175574 13567432 15263361 20351148 30526722 40702296 61053444 122106888