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123404424120 = 233251095695527
BaseRepresentation
bin111001011101101111…
…0100001001110111000
3102210112021012021102200
41302323132201032320
54010213013032440
6132405145030200
711626035204105
oct1627336411670
9383467167380
10123404424120
114837664237a
121babba85360
13b8385cbb03
145d89545aac
153323cd3c30
hex1cbb7a13b8

123404424120 has 192 divisors, whose sum is σ = 405528552000. Its totient is φ = 32542746624.

The previous prime is 123404424109. The next prime is 123404424127. The reversal of 123404424120 is 21424404321.

123404424120 is a `hidden beast` number, since 1 + 234 + 0 + 4 + 424 + 1 + 2 + 0 = 666.

123404424120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123404424127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22324797 + ... + 22330323.

It is an arithmetic number, because the mean of its divisors is an integer number (2112127875).

Almost surely, 2123404424120 is an apocalyptic number.

123404424120 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 123404424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202764276000).

123404424120 is an abundant number, since it is smaller than the sum of its proper divisors (282124127880).

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

123404424120 is a wasteful number, since it uses less digits than its factorization.

123404424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 123404424120 its reverse (21424404321), we get a palindrome (144828828441).

The spelling of 123404424120 in words is "one hundred twenty-three billion, four hundred four million, four hundred twenty-four thousand, one hundred twenty".