Search a number
-
+
123243120 = 243457111319
BaseRepresentation
bin1110101100010…
…00101001110000
322120220101210000
413112020221300
5223022234440
620121310000
73024356250
oct726105160
9276811700
10123243120
1163627420
1235335300
131c6c1130
1412521960
15ac46730
hex7588a70

123243120 has 800 divisors, whose sum is σ = 604961280. Its totient is φ = 22394880.

The previous prime is 123243103. The next prime is 123243151. The reversal of 123243120 is 21342321.

123243120 is a `hidden beast` number, since 1 + 232 + 431 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123243093 and 123243102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6486471 + ... + 6486489.

Almost surely, 2123243120 is an apocalyptic number.

123243120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

123243120 is an abundant number, since it is smaller than the sum of its proper divisors (481718160).

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

123243120 is a wasteful number, since it uses less digits than its factorization.

123243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123243120 is about 11101.4917916467. The cubic root of 123243120 is about 497.6464321529.

Adding to 123243120 its reverse (21342321), we get a palindrome (144585441).

The spelling of 123243120 in words is "one hundred twenty-three million, two hundred forty-three thousand, one hundred twenty".