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120032221320 = 2332511229313219
BaseRepresentation
bin110111111001001111…
…0100101100010001000
3102110211020210121211200
41233302132211202020
53431311222040240
6131050403024200
711446340022054
oct1576236454210
9373736717750
10120032221320
11469a6072510
121b31a66b060
13b41ba8943b
145b49732c64
1531c7c1c930
hex1bf27a5888

120032221320 has 192 divisors, whose sum is σ = 425786587200. Its totient is φ = 29083829760.

The previous prime is 120032221217. The next prime is 120032221321. The reversal of 120032221320 is 23122230021.

120032221320 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 322 + 21 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120032221293 and 120032221302.

It is not an unprimeable number, because it can be changed into a prime (120032221321) 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, 9073671 + ... + 9086889.

It is an arithmetic number, because the mean of its divisors is an integer number (2217638475).

Almost surely, 2120032221320 is an apocalyptic number.

120032221320 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 120032221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212893293600).

120032221320 is an abundant number, since it is smaller than the sum of its proper divisors (305754365880).

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

120032221320 is a wasteful number, since it uses less digits than its factorization.

120032221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15540 (or 15533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120032221320 its reverse (23122230021), we get a palindrome (143154451341).

The spelling of 120032221320 in words is "one hundred twenty billion, thirty-two million, two hundred twenty-one thousand, three hundred twenty".