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123124012232130 = 23557131318742223
BaseRepresentation
bin11011111111101100001011…
…000000110010110111000010
3121010221112121002221102200000
4123333230023000302313002
5112114230434112412010
61113510220152540430
734635262542054360
oct3377541300626702
9533845532842600
10123124012232130
113625a667083428
12119863126b1716
135391710459190
14225933c0c8630
15e37b111de7c0
hex6ffb0b032dc2

123124012232130 has 384 divisors, whose sum is σ = 408629976588288. Its totient is φ = 25975228407552.

The previous prime is 123124012232107. The next prime is 123124012232131. The reversal of 123124012232130 is 31232210421321.

123124012232130 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 401 + 223 + 2 + 1 + 30 = 666.

123124012232130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123124012232094 and 123124012232103.

It is not an unprimeable number, because it can be changed into a prime (123124012232131) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2916020199 + ... + 2916062421.

It is an arithmetic number, because the mean of its divisors is an integer number (1064140564032).

Almost surely, 2123124012232130 is an apocalyptic number.

123124012232130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123124012232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204314988294144).

123124012232130 is an abundant number, since it is smaller than the sum of its proper divisors (285505964356158).

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

123124012232130 is a wasteful number, since it uses less digits than its factorization.

123124012232130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55452 (or 55440 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 123124012232130 its reverse (31232210421321), we get a palindrome (154356222653451).

The spelling of 123124012232130 in words is "one hundred twenty-three trillion, one hundred twenty-four billion, twelve million, two hundred thirty-two thousand, one hundred thirty".