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12240021314000 = 24536120010657
BaseRepresentation
bin1011001000011101101000…
…0111110101100111010000
31121100010122010112012002202
42302013122013311213100
53101020030424022000
642010553235502332
72402212065351164
oct262073207654720
947303563465082
1012240021314000
113999a66a31617
1214582464579a8
136aa2c931483c
143045c5018ca4
151635ceb8bdd5
hexb21da1f59d0

12240021314000 has 40 divisors (see below), whose sum is σ = 29596371542088. Its totient is φ = 4896008524800.

The previous prime is 12240021313999. The next prime is 12240021314021. The reversal of 12240021314000 is 41312004221.

12240021314000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3762653339536 + 8477367974464 = 1939756^2 + 2911592^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3060003329 + ... + 3060007328.

Almost surely, 212240021314000 is an apocalyptic number.

12240021314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12240021314000 is an abundant number, since it is smaller than the sum of its proper divisors (17356350228088).

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

12240021314000 is an equidigital number, since it uses as much as digits as its factorization.

12240021314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120010680 (or 6120010664 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12240021314000 its reverse (41312004221), we get a palindrome (12281333318221).

The spelling of 12240021314000 in words is "twelve trillion, two hundred forty billion, twenty-one million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6120010657 12240021314 24480042628 30600053285 48960085256 61200106570 97920170512 122400213140 153000266425 244800426280 306000532850 489600852560 612001065700 765001332125 1224002131400 1530002664250 2448004262800 3060005328500 6120010657000 12240021314000