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120044028000 = 253531331103241
BaseRepresentation
bin110111111001100101…
…1101000000001100000
3102110212002000110120010
41233303023220001200
53431322232344000
6131051504044520
711446542254631
oct1576313500140
9373762013503
10120044028000
1146a017a6aa6
121b322603740
13b421361440
145b4b127888
1531c8ca0d50
hex1bf32e8060

120044028000 has 768 divisors, whose sum is σ = 443253178368. Its totient is φ = 28200960000.

The previous prime is 120044027911. The next prime is 120044028001. The reversal of 120044028000 is 820440021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120044028001) 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 127 ways as a sum of consecutive naturals, for example, 498107880 + ... + 498108120.

It is an arithmetic number, because the mean of its divisors is an integer number (577152576).

Almost surely, 2120044028000 is an apocalyptic number.

120044028000 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 120044028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221626589184).

120044028000 is an abundant number, since it is smaller than the sum of its proper divisors (323209150368).

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

120044028000 is a wasteful number, since it uses less digits than its factorization.

120044028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 120044028000 its reverse (820440021), we get a palindrome (120864468021).

The spelling of 120044028000 in words is "one hundred twenty billion, forty-four million, twenty-eight thousand".