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123023400120 = 233253783223499
BaseRepresentation
bin111001010010011000…
…1000001110010111000
3102202112201020020202200
41302210301001302320
54003422442300440
6132303254230200
711613430435005
oct1624461016270
9382481206680
10123023400120
11481a0558405
121ba14355360
13b7a76a281a
145d50ac08ac
15330061cc30
hex1ca4c41cb8

123023400120 has 384 divisors, whose sum is σ = 418279680000. Its totient is φ = 31330685952.

The previous prime is 123023400089. The next prime is 123023400127. The reversal of 123023400120 is 21004320321.

123023400120 is a `hidden beast` number, since 1 + 2 + 302 + 340 + 0 + 1 + 20 = 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 = 123023400093 and 123023400102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123023400127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246539631 + ... + 246540129.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270000).

Almost surely, 2123023400120 is an apocalyptic number.

123023400120 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 123023400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840000).

123023400120 is an abundant number, since it is smaller than the sum of its proper divisors (295256279880).

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

123023400120 is a wasteful number, since it uses less digits than its factorization.

123023400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 852 counting only the distinct ones).

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

Adding to 123023400120 its reverse (21004320321), we get a palindrome (144027720441).

The spelling of 123023400120 in words is "one hundred twenty-three billion, twenty-three million, four hundred thousand, one hundred twenty".