Search a number
-
+
122231120 = 24511138899
BaseRepresentation
bin1110100100100…
…01100101010000
322111222222120112
413102101211100
5222242343440
620043500452
73012642644
oct722214520
9274888515
10122231120
1162aa6060
1234b27728
131c42860b
141233ac24
15aae6965
hex7491950

122231120 has 40 divisors (see below), whose sum is σ = 310024800. Its totient is φ = 44447360.

The previous prime is 122231119. The next prime is 122231147. The reversal of 122231120 is 21132221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 122231095 and 122231104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68570 + ... + 70329.

It is an arithmetic number, because the mean of its divisors is an integer number (7750620).

Almost surely, 2122231120 is an apocalyptic number.

122231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122231120 is an abundant number, since it is smaller than the sum of its proper divisors (187793680).

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

122231120 is a wasteful number, since it uses less digits than its factorization.

122231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138923 (or 138917 counting only the distinct ones).

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

The square root of 122231120 is about 11055.8183776688. The cubic root of 122231120 is about 496.2805601417.

Adding to 122231120 its reverse (21132221), we get a palindrome (143363341).

The spelling of 122231120 in words is "one hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 138899 277798 555596 694495 1111192 1388990 1527889 2222384 2777980 3055778 5555960 6111556 7639445 11111920 12223112 15278890 24446224 30557780 61115560 122231120