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121701395880 = 233251731641479
BaseRepresentation
bin111000101010111110…
…1111110110110101000
3102122010120122110212200
41301111331332312220
53443221024132010
6131524151140200
711535605540151
oct1612575766650
9378116573780
10121701395880
11476822a1019
121b705674660
13b6268320ac
145c672b2928
153274532cc0
hex1c55f7eda8

121701395880 has 192 divisors, whose sum is σ = 432306201600. Its totient is φ = 29559306240.

The previous prime is 121701395867. The next prime is 121701395887. The reversal of 121701395880 is 88593107121.

121701395880 is a `hidden beast` number, since 12 + 170 + 1 + 395 + 8 + 80 = 666.

It is a super-2 number, since 2×1217013958802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (121701395887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131020 + ... + 510459.

It is an arithmetic number, because the mean of its divisors is an integer number (2251594800).

Almost surely, 2121701395880 is an apocalyptic number.

121701395880 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 121701395880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216153100800).

121701395880 is an abundant number, since it is smaller than the sum of its proper divisors (310604805720).

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

121701395880 is a wasteful number, since it uses less digits than its factorization.

121701395880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641544 (or 641537 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 121701395880 in words is "one hundred twenty-one billion, seven hundred one million, three hundred ninety-five thousand, eight hundred eighty".