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12201343141440 = 2635314324139563
BaseRepresentation
bin1011000110001101100010…
…1110010100011001000000
31121012102210120201102222010
42301203120232110121000
53044401322321011230
641541115240212520
72366342441330535
oct261433056243100
947172716642863
1012201343141440
11398461912a052
12145085116a140
136a67740703bb
14302796210d8c
151625b92579b0
hexb18d8b94640

12201343141440 has 448 divisors, whose sum is σ = 41089719508992. Its totient is φ = 3062668492800.

The previous prime is 12201343141417. The next prime is 12201343141457. The reversal of 12201343141440 is 4414134310221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12201343141398 and 12201343141407.

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, 308383099 + ... + 308422661.

It is an arithmetic number, because the mean of its divisors is an integer number (91718123904).

Almost surely, 212201343141440 is an apocalyptic number.

12201343141440 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 12201343141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20544859754496).

12201343141440 is an abundant number, since it is smaller than the sum of its proper divisors (28888376367552).

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

12201343141440 is a wasteful number, since it uses less digits than its factorization.

12201343141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39898 (or 39888 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 12201343141440 its reverse (4414134310221), we get a palindrome (16615477451661).

The spelling of 12201343141440 in words is "twelve trillion, two hundred one billion, three hundred forty-three million, one hundred forty-one thousand, four hundred forty".