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12335003340 = 22351141599761
BaseRepresentation
bin10110111110011100…
…10011011011001100
31011211122111002112120
423133032103123030
5200230230101330
65355553532540
7614446540602
oct133716233314
934748432476
1012335003340
11525a873640
122482b74150
131217699a5a
14850303872
154c2d95c10
hex2df3936cc

12335003340 has 192 divisors, whose sum is σ = 38712038400. Its totient is φ = 2908672000.

The previous prime is 12335003297. The next prime is 12335003411. The reversal of 12335003340 is 4330053321.

It is a happy number.

It is a super-2 number, since 2×123350033402 (a number of 21 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 12335003340.

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, 16208560 + ... + 16209320.

It is an arithmetic number, because the mean of its divisors is an integer number (201625200).

Almost surely, 212335003340 is an apocalyptic number.

12335003340 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 12335003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19356019200).

12335003340 is an abundant number, since it is smaller than the sum of its proper divisors (26377035060).

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

12335003340 is a wasteful number, since it uses less digits than its factorization.

12335003340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 12335003340 its reverse (4330053321), we get a palindrome (16665056661).

The spelling of 12335003340 in words is "twelve billion, three hundred thirty-five million, three thousand, three hundred forty".