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123212330120 = 235112196612027
BaseRepresentation
bin111001011000000000…
…1101111010010001000
3102210000212201220000002
41302300001233102020
54004314324030440
6132334123502132
711621213345225
oct1626001572210
9383025656002
10123212330120
114828816a300
121ba67687948
13b807882219
145d6bc2094c
153311edc115
hex1cb006f488

123212330120 has 192 divisors, whose sum is σ = 321403118400. Its totient is φ = 42361228800.

The previous prime is 123212330089. The next prime is 123212330123. The reversal of 123212330120 is 21033212321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123212330092 and 123212330101.

It is not an unprimeable number, because it can be changed into a prime (123212330123) 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, 60784547 + ... + 60786573.

It is an arithmetic number, because the mean of its divisors is an integer number (1673974575).

Almost surely, 2123212330120 is an apocalyptic number.

123212330120 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 123212330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160701559200).

123212330120 is an abundant number, since it is smaller than the sum of its proper divisors (198190788280).

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

123212330120 is a wasteful number, since it uses less digits than its factorization.

123212330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123212330120 its reverse (21033212321), we get a palindrome (144245542441).

The spelling of 123212330120 in words is "one hundred twenty-three billion, two hundred twelve million, three hundred thirty thousand, one hundred twenty".