Search a number
-
+
120242450000 = 245519472693
BaseRepresentation
bin110111111111100000…
…0100010111001010000
3102111100220101100101002
41233333000202321100
53432224031400000
6131123313001132
711454501650501
oct1577700427120
9374326340332
10120242450000
1146aa3801422
121b378b531a8
13b4534b53ca
145b69618ba8
1531db3e78d5
hex1bff022e50

120242450000 has 240 divisors, whose sum is σ = 313157456640. Its totient is φ = 44579520000.

The previous prime is 120242449973. The next prime is 120242450023. The reversal of 120242450000 is 54242021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 44648654 + ... + 44651346.

It is an arithmetic number, because the mean of its divisors is an integer number (1304822736).

Almost surely, 2120242450000 is an apocalyptic number.

120242450000 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 120242450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156578728320).

120242450000 is an abundant number, since it is smaller than the sum of its proper divisors (192915006640).

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

120242450000 is an equidigital number, since it uses as much as digits as its factorization.

120242450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 120242450000 its reverse (54242021), we get a palindrome (120296692021).

The spelling of 120242450000 in words is "one hundred twenty billion, two hundred forty-two million, four hundred fifty thousand".