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121242312432 = 24345910211553
BaseRepresentation
bin111000011101010011…
…0101101111011110000
3102120221120210121210000
41300322212231323300
53441301012444212
6131410431310000
711521332436353
oct1607246557360
9376846717700
10121242312432
114746714090a
121b5b797b300
13b5826a4a97
145c2232c29a
15324909d1dc
hex1c3a9adef0

121242312432 has 200 divisors, whose sum is σ = 357437591280. Its totient is φ = 39664650240.

The previous prime is 121242312407. The next prime is 121242312439. The reversal of 121242312432 is 234213242121.

121242312432 is a `hidden beast` number, since 1 + 212 + 4 + 2 + 3 + 12 + 432 = 666.

121242312432 is digitally balanced in base 3, 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 (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121242312396 and 121242312405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121242312439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78068968 + ... + 78070520.

Almost surely, 2121242312432 is an apocalyptic number.

121242312432 is a gapful number since it is divisible by the number (12) 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 121242312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178718795640).

121242312432 is an abundant number, since it is smaller than the sum of its proper divisors (236195278848).

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

121242312432 is a wasteful number, since it uses less digits than its factorization.

121242312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2638 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 121242312432 its reverse (234213242121), we get a palindrome (355455554553).

The spelling of 121242312432 in words is "one hundred twenty-one billion, two hundred forty-two million, three hundred twelve thousand, four hundred thirty-two".