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120011430000 = 2435471124723
BaseRepresentation
bin110111111000100111…
…1010001100001110000
3102110202210200022111210
41233301033101201300
53431240411230000
6131044341240120
711445665216010
oct1576117214160
9373683608453
10120011430000
1146995361700
121b313703040
13b417689a97
145b46a7dc40
1531c5eb2350
hex1bf13d1870

120011430000 has 600 divisors, whose sum is σ = 486770483584. Its totient is φ = 24932160000.

The previous prime is 120011429999. The next prime is 120011430023. The reversal of 120011430000 is 34110021.

It is a happy number.

120011430000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 25407639 + ... + 25412361.

Almost surely, 2120011430000 is an apocalyptic number.

120011430000 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 120011430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243385241792).

120011430000 is an abundant number, since it is smaller than the sum of its proper divisors (366759053584).

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

120011430000 is a wasteful number, since it uses less digits than its factorization.

120011430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120011430000 its reverse (34110021), we get a palindrome (120045540021).

The spelling of 120011430000 in words is "one hundred twenty billion, eleven million, four hundred thirty thousand".