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12203042400240 = 24352331535113327
BaseRepresentation
bin1011000110010011111000…
…0000011110011111110000
31121012121012000011201211020
42301210332000132133300
53044413312323301430
641542000021215440
72366432523645036
oct261447600363760
947177160151736
1012203042400240
11398531033636a
121451046261580
136a698511a493
143028b7b82556
15162668511b10
hexb193e01e7f0

12203042400240 has 320 divisors, whose sum is σ = 40758223306752. Its totient is φ = 3011462784000.

The previous prime is 12203042400187. The next prime is 12203042400281. The reversal of 12203042400240 is 4200424030221.

12203042400240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12203042400240.

It is a congruent number.

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, 915656457 + ... + 915669783.

Almost surely, 212203042400240 is an apocalyptic number.

12203042400240 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 12203042400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379111653376).

12203042400240 is an abundant number, since it is smaller than the sum of its proper divisors (28555180906512).

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

12203042400240 is a wasteful number, since it uses less digits than its factorization.

12203042400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18748 (or 18742 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12203042400240 its reverse (4200424030221), we get a palindrome (16403466430461).

The spelling of 12203042400240 in words is "twelve trillion, two hundred three billion, forty-two million, four hundred thousand, two hundred forty".