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120440134320 = 243511297122157
BaseRepresentation
bin111000000101011001…
…0101001101010110000
3102111212200100202021120
41300022302221222300
53433130133244240
6131155054022240
711462422151562
oct1601262515260
9374780322246
10120440134320
11470953525a0
121b4131a7980
13b48543b68c
145b87997332
1531ed945ad0
hex1c0aca9ab0

120440134320 has 320 divisors, whose sum is σ = 427305507840. Its totient is φ = 27792486400.

The previous prime is 120440134273. The next prime is 120440134357. The reversal of 120440134320 is 23431044021.

120440134320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5424682 + ... + 5446838.

It is an arithmetic number, because the mean of its divisors is an integer number (1335329712).

Almost surely, 2120440134320 is an apocalyptic number.

120440134320 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 120440134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213652753920).

120440134320 is an abundant number, since it is smaller than the sum of its proper divisors (306865373520).

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

120440134320 is a wasteful number, since it uses less digits than its factorization.

120440134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22284 (or 22278 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 120440134320 its reverse (23431044021), we get a palindrome (143871178341).

The spelling of 120440134320 in words is "one hundred twenty billion, four hundred forty million, one hundred thirty-four thousand, three hundred twenty".