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120131233200 = 243252117142727
BaseRepresentation
bin110111111100001100…
…0010010010110110000
3102111002011002221121100
41233320120102112300
53432012043430300
6131104301124400
711451651430326
oct1577030222660
9374064087540
10120131233200
1146a46a49610
121b347859700
13b436445254
145b58947d16
1531d1779700
hex1bf86125b0

120131233200 has 360 divisors, whose sum is σ = 461203981056. Its totient is φ = 28711872000.

The previous prime is 120131233199. The next prime is 120131233301. The reversal of 120131233200 is 2332131021.

120131233200 is a `hidden beast` number, since 1 + 20 + 1 + 312 + 332 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2790237 + ... + 2832963.

Almost surely, 2120131233200 is an apocalyptic number.

120131233200 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 120131233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230601990528).

120131233200 is an abundant number, since it is smaller than the sum of its proper divisors (341072747856).

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

120131233200 is a wasteful number, since it uses less digits than its factorization.

120131233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42833 (or 42819 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120131233200 its reverse (2332131021), we get a palindrome (122463364221).

The spelling of 120131233200 in words is "one hundred twenty billion, one hundred thirty-one million, two hundred thirty-three thousand, two hundred".