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12300180000 = 253541731389
BaseRepresentation
bin10110111010010010…
…11101101000100000
31011202012221212220020
423131021131220200
5200142321230000
65352311313440
7613544543043
oct133511355040
934665855806
1012300180000
115242149319
12247337b880
1312103c6524
1484983ac5a
154becb7ba0
hex2dd25da20

12300180000 has 480 divisors, whose sum is σ = 44211847680. Its totient is φ = 2979840000.

The previous prime is 12300179987. The next prime is 12300180029. The reversal of 12300180000 is 8100321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31619806 + ... + 31620194.

It is an arithmetic number, because the mean of its divisors is an integer number (92108016).

Almost surely, 212300180000 is an apocalyptic number.

12300180000 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 12300180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22105923840).

12300180000 is an abundant number, since it is smaller than the sum of its proper divisors (31911667680).

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

12300180000 is a wasteful number, since it uses less digits than its factorization.

12300180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12300180000 its reverse (8100321), we get a palindrome (12308280321).

The spelling of 12300180000 in words is "twelve billion, three hundred million, one hundred eighty thousand".