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12001516000 = 25533000379
BaseRepresentation
bin10110010110101100…
…01001100111100000
31010222101222011220121
423023112021213200
5144034342003000
65302522050024
7603260126365
oct131326114740
933871864817
1012001516000
1150a95a7671
1223ab349914
131193575876
1481bcd446c
154a396eb1a
hex2cb5899e0

12001516000 has 48 divisors (see below), whose sum is σ = 29487734640. Its totient is φ = 4800604800.

The previous prime is 12001515979. The next prime is 12001516001. The reversal of 12001516000 is 61510021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001516001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1496190 + ... + 1504189.

It is an arithmetic number, because the mean of its divisors is an integer number (614327805).

Almost surely, 212001516000 is an apocalyptic number.

12001516000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001516000 is an abundant number, since it is smaller than the sum of its proper divisors (17486218640).

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

12001516000 is an equidigital number, since it uses as much as digits as its factorization.

12001516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000404 (or 3000386 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The spelling of 12001516000 in words is "twelve billion, one million, five hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 3000379 6000758 12001516 15001895 24003032 30003790 48006064 60007580 75009475 96012128 120015160 150018950 240030320 300037900 375047375 480060640 600075800 750094750 1200151600 1500189500 2400303200 3000379000 6000758000 12001516000