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123300012 = 223112294079
BaseRepresentation
bin1110101100101…
…10100010101100
322121000021211010
413112112202230
5223031100022
620122425220
73025014153
oct726264254
9277007733
10123300012
1163666140
1235362210
131c710cb4
141253859a
15ac5850c
hex75968ac

123300012 has 48 divisors (see below), whose sum is σ = 315302400. Its totient is φ = 37191360.

The previous prime is 123300011. The next prime is 123300013. The reversal of 123300012 is 210003321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123300011) and next prime (123300013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (123300011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28189 + ... + 32267.

It is an arithmetic number, because the mean of its divisors is an integer number (6568800).

Almost surely, 2123300012 is an apocalyptic number.

123300012 is a gapful number since it is divisible by the number (12) 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 123300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157651200).

123300012 is an abundant number, since it is smaller than the sum of its proper divisors (192002388).

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

123300012 is a wasteful number, since it uses less digits than its factorization.

123300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 123300012 is about 11104.0538543363. The cubic root of 123300012 is about 497.7229955760.

Adding to 123300012 its reverse (210003321), we get a palindrome (333303333).

The spelling of 123300012 in words is "one hundred twenty-three million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 229 458 687 916 1374 2519 2748 4079 5038 7557 8158 10076 12237 15114 16316 24474 30228 44869 48948 89738 134607 179476 269214 538428 934091 1868182 2802273 3736364 5604546 10275001 11209092 20550002 30825003 41100004 61650006 123300012