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121243554432 = 273371113101347
BaseRepresentation
bin111000011101010101…
…1011101001010000000
3102120221200010201111000
41300322223131022000
53441301322220212
6131410514052000
711521346131350
oct1607253351200
9376850121430
10121243554432
1147467909a60
121b5b827a000
13b582a1b1b0
145c22572b60
1532492461dc
hex1c3aadd280

121243554432 has 1024 divisors, whose sum is σ = 486607564800. Its totient is φ = 28698624000.

The previous prime is 121243554427. The next prime is 121243554437. The reversal of 121243554432 is 234455342121.

It is a happy number.

121243554432 is a `hidden beast` number, since 1 + 21 + 2 + 43 + 554 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (121243554427) and next prime (121243554437).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121243554437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 349404883 + ... + 349405229.

It is an arithmetic number, because the mean of its divisors is an integer number (475202700).

Almost surely, 2121243554432 is an apocalyptic number.

121243554432 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 121243554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243303782400).

121243554432 is an abundant number, since it is smaller than the sum of its proper divisors (365364010368).

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

121243554432 is a wasteful number, since it uses less digits than its factorization.

121243554432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 121243554432 its reverse (234455342121), we get a palindrome (355698896553).

The spelling of 121243554432 in words is "one hundred twenty-one billion, two hundred forty-three million, five hundred fifty-four thousand, four hundred thirty-two".