Search a number
-
+
120206622144 = 2637296534723
BaseRepresentation
bin110111111110011011…
…1110111110111000000
3102111021101222002210110
41233330313313313000
53432140343402034
6131115553031320
711453555300220
oct1577467676700
9374241862713
10120206622144
1146a85560424
121b368b55540
13b448c4c8ab
145b64970080
1531d81bbde9
hex1bfcdf7dc0

120206622144 has 224 divisors, whose sum is σ = 376671352320. Its totient is φ = 33102655488.

The previous prime is 120206622113. The next prime is 120206622149. The reversal of 120206622144 is 441226602021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120206622149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25448967 + ... + 25453689.

Almost surely, 2120206622144 is an apocalyptic number.

120206622144 is a gapful number since it is divisible by the number (14) 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 120206622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188335676160).

120206622144 is an abundant number, since it is smaller than the sum of its proper divisors (256464730176).

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

120206622144 is a wasteful number, since it uses less digits than its factorization.

120206622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 120206622144 in words is "one hundred twenty billion, two hundred six million, six hundred twenty-two thousand, one hundred forty-four".