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12240021304140 = 22357892391370077
BaseRepresentation
bin1011001000011101101000…
…0111110011001101001100
31121100010122010111200120120
42302013122013303031030
53101020030423213030
642010553235344540
72402212065310350
oct262073207631514
947303563450516
1012240021304140
113999a66a25173
121458246452150
136aa2c93101c6
143045c5015460
151635ceb89010
hexb21da1f334c

12240021304140 has 192 divisors, whose sum is σ = 39773912371200. Its totient is φ = 2754707687424.

The previous prime is 12240021304127. The next prime is 12240021304157. The reversal of 12240021304140 is 4140312004221.

12240021304140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122400213041402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12240021304140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8248782 + ... + 9618858.

It is an arithmetic number, because the mean of its divisors is an integer number (207155793600).

Almost surely, 212240021304140 is an apocalyptic number.

12240021304140 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 12240021304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19886956185600).

12240021304140 is an abundant number, since it is smaller than the sum of its proper divisors (27533891067060).

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

12240021304140 is a wasteful number, since it uses less digits than its factorization.

12240021304140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370424 (or 1370422 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12240021304140 its reverse (4140312004221), we get a palindrome (16380333308361).

The spelling of 12240021304140 in words is "twelve trillion, two hundred forty billion, twenty-one million, three hundred four thousand, one hundred forty".