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12300034120 = 23511251111373
BaseRepresentation
bin10110111010010001…
…11010000001001000
31011202012200110210021
423131020322001020
5200142302042440
65352304230224
7613543364533
oct133510720110
934665613707
1012300034120
115242059760
12247330b374
131210374cca
148497dda1a
154bec8984a
hex2dd23a048

12300034120 has 64 divisors (see below), whose sum is σ = 30311547840. Its totient is φ = 4454880000.

The previous prime is 12300034073. The next prime is 12300034141. The reversal of 12300034120 is 2143000321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12300034094 and 12300034103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54754 + ... + 166126.

It is an arithmetic number, because the mean of its divisors is an integer number (473617935).

Almost surely, 212300034120 is an apocalyptic number.

12300034120 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 12300034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155773920).

12300034120 is an abundant number, since it is smaller than the sum of its proper divisors (18011513720).

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

12300034120 is a wasteful number, since it uses less digits than its factorization.

12300034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111646 (or 111642 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12300034120 its reverse (2143000321), we get a palindrome (14443034441).

The spelling of 12300034120 in words is "twelve billion, three hundred million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 251 440 502 1004 1255 2008 2510 2761 5020 5522 10040 11044 13805 22088 27610 55220 110440 111373 222746 445492 556865 890984 1113730 1225103 2227460 2450206 4454920 4900412 6125515 9800824 12251030 24502060 27954623 49004120 55909246 111818492 139773115 223636984 279546230 307500853 559092460 615001706 1118184920 1230003412 1537504265 2460006824 3075008530 6150017060 12300034120