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12000300000 = 253551317181
BaseRepresentation
bin10110010110100011…
…00000101111100000
31010222022200101212120
423023101200233200
5144034034100000
65302440024240
7603243603243
oct131321405740
933868611776
1012000300000
1150a8947007
1223aaa62080
13119323b240
1481ba9925a
154a37ce6a0
hex2cb460be0

12000300000 has 576 divisors, whose sum is σ = 45144485568. Its totient is φ = 2764800000.

The previous prime is 12000299921. The next prime is 12000300007. The reversal of 12000300000 is 300021.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000300007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66299910 + ... + 66300090.

It is an arithmetic number, because the mean of its divisors is an integer number (78375843).

Almost surely, 212000300000 is an apocalyptic number.

12000300000 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 12000300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22572242784).

12000300000 is an abundant number, since it is smaller than the sum of its proper divisors (33144185568).

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

12000300000 is a wasteful number, since it uses less digits than its factorization.

12000300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 12000300000 its reverse (300021), we get a palindrome (12000600021).

It can be divided in two parts, 12000 and 300000, that multiplied together give a square (3600000000 = 600002).

The spelling of 12000300000 in words is "twelve billion, three hundred thousand".