Search a number
-
+
120145120000 = 28541744171
BaseRepresentation
bin110111111100100110…
…1010000101100000000
3102111010010020110201021
41233321031100230000
53432024122320000
6131105514515224
711452210445533
oct1577115205400
9374103213637
10120145120000
1146a53873a04
121b350435b14
13b439297ca9
145b5a720a1a
1531d2abe11a
hex1bf9350b00

120145120000 has 180 divisors, whose sum is σ = 317315657736. Its totient is φ = 45230080000.

The previous prime is 120145119979. The next prime is 120145120001. The reversal of 120145120000 is 21541021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120145120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2697915 + ... + 2742085.

Almost surely, 2120145120000 is an apocalyptic number.

120145120000 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 120145120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158657828868).

120145120000 is an abundant number, since it is smaller than the sum of its proper divisors (197170537736).

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

120145120000 is an frugal number, since it uses more digits than its factorization.

120145120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44224 (or 44195 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 120145120000 its reverse (21541021), we get a palindrome (120166661021).

The spelling of 120145120000 in words is "one hundred twenty billion, one hundred forty-five million, one hundred twenty thousand".