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12000300312 = 23372111371359
BaseRepresentation
bin10110010110100011…
…00000110100011000
31010222022200102022010
423023101200310120
5144034034102222
65302440025520
7603243604200
oct131321406430
933868612263
1012000300312
1150a8947270
1223aaa622a0
13119323b420
1481ba99400
154a37ce80c
hex2cb460d18

12000300312 has 192 divisors, whose sum is σ = 41000601600. Its totient is φ = 2877154560.

The previous prime is 12000300287. The next prime is 12000300371. The reversal of 12000300312 is 21300300021.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132489 + ... + 203847.

It is an arithmetic number, because the mean of its divisors is an integer number (213544800).

Almost surely, 212000300312 is an apocalyptic number.

12000300312 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 12000300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20500300800).

12000300312 is an abundant number, since it is smaller than the sum of its proper divisors (29000301288).

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

12000300312 is a wasteful number, since it uses less digits than its factorization.

12000300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71406 (or 71395 counting only the distinct ones).

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

Adding to 12000300312 its reverse (21300300021), we get a palindrome (33300600333).

The spelling of 12000300312 in words is "twelve billion, three hundred thousand, three hundred twelve".