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123230384928 = 25327375928001
BaseRepresentation
bin111001011000100011…
…0100111001100100000
3102210002010201011112200
41302301012213030200
54004333434304203
6132340010453200
711621522663160
oct1626106471440
9383063634480
10123230384928
1148297381132
121ba71734200
13b80b534141
145d703a05a0
1533138a69a3
hex1cb11a7320

123230384928 has 288 divisors, whose sum is σ = 418309557120. Its totient is φ = 33675264000.

The previous prime is 123230384923. The next prime is 123230384933. The reversal of 123230384928 is 829483032321.

123230384928 is a `hidden beast` number, since 1 + 232 + 30 + 384 + 9 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (123230384923) and next prime (123230384933).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (123230384923) 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, 4386928 + ... + 4414928.

It is an arithmetic number, because the mean of its divisors is an integer number (1452463740).

Almost surely, 2123230384928 is an apocalyptic number.

123230384928 is a gapful number since it is divisible by the number (18) 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 123230384928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209154778560).

123230384928 is an abundant number, since it is smaller than the sum of its proper divisors (295079172192).

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

123230384928 is a wasteful number, since it uses less digits than its factorization.

123230384928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28120 (or 28109 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 123230384928 in words is "one hundred twenty-three billion, two hundred thirty million, three hundred eighty-four thousand, nine hundred twenty-eight".