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121301013132 = 22361331110289
BaseRepresentation
bin111000011111000011…
…0101001001010001100
3102121002200020221000000
41300332012221022030
53441411024410012
6131420325404300
711522644412415
oct1607606511214
9377080227000
10121301013132
1147497294592
121b613569690
13b5918b8520
145c2a04c80c
15324e2e5ddc
hex1c3e1a928c

121301013132 has 168 divisors, whose sum is σ = 343887354720. Its totient is φ = 37199761920.

The previous prime is 121301013077. The next prime is 121301013151. The reversal of 121301013132 is 231310103121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 11784244 + ... + 11794532.

It is an arithmetic number, because the mean of its divisors is an integer number (2046948540).

Almost surely, 2121301013132 is an apocalyptic number.

121301013132 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 121301013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171943677360).

121301013132 is an abundant number, since it is smaller than the sum of its proper divisors (222586341588).

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

121301013132 is a wasteful number, since it uses less digits than its factorization.

121301013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10635 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121301013132 its reverse (231310103121), we get a palindrome (352611116253).

The spelling of 121301013132 in words is "one hundred twenty-one billion, three hundred one million, thirteen thousand, one hundred thirty-two".