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121147342848 = 214387223
BaseRepresentation
bin111000011010011110…
…0011100000000000000
3102120200222002200000000
41300310330130000000
53441102204432343
6131353200000000
711516100265200
oct1606474340000
9376628080000
10121147342848
1147418575854
121b590000000
13b568b02b6c
145c1388a400
153240a8ded3
hex1c34f1c000

121147342848 has 810 divisors, whose sum is σ = 441125344296. Its totient is φ = 33108590592.

The previous prime is 121147342829. The next prime is 121147342891. The reversal of 121147342848 is 848243741121.

121147342848 is a `hidden beast` number, since 1 + 2 + 114 + 73 + 428 + 48 = 666.

It is a super-2 number, since 2×1211473428482 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5267275765 + ... + 5267275787.

Almost surely, 2121147342848 is an apocalyptic number.

121147342848 is a gapful number since it is divisible by the number (18) 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 121147342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220562672148).

121147342848 is an abundant number, since it is smaller than the sum of its proper divisors (319978001448).

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

121147342848 is an frugal number, since it uses more digits than its factorization.

121147342848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 35 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 121147342848 in words is "one hundred twenty-one billion, one hundred forty-seven million, three hundred forty-two thousand, eight hundred forty-eight".