Search a number
-
+
120912258672 = 243219103503853
BaseRepresentation
bin111000010011011101…
…1101010011001110000
3102120002120202011010200
41300212323222121300
53440112014234142
6131314001155200
711510214145452
oct1604673523160
9376076664120
10120912258672
11473078aa607
121b52532bb00
13b52c1b36ba
145bd05742d2
15322a10464c
hex1c26eea670

120912258672 has 240 divisors, whose sum is σ = 360791907840. Its totient is φ = 37692698112.

The previous prime is 120912258563. The next prime is 120912258679. The reversal of 120912258672 is 276852219021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120912258679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141748998 + ... + 141749850.

It is an arithmetic number, because the mean of its divisors is an integer number (1503299616).

Almost surely, 2120912258672 is an apocalyptic number.

120912258672 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 120912258672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180395953920).

120912258672 is an abundant number, since it is smaller than the sum of its proper divisors (239879649168).

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

120912258672 is a wasteful number, since it uses less digits than its factorization.

120912258672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 120912258672 in words is "one hundred twenty billion, nine hundred twelve million, two hundred fifty-eight thousand, six hundred seventy-two".