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120013222200 = 23352375479883
BaseRepresentation
bin110111111000101011…
…0000111000100111000
3102110202221001100221120
41233301112013010320
53431241341102300
6131044443505240
711446016362044
oct1576126070470
9373687040846
10120013222200
1146996376163
121b314228220
13b417b66761
145b46dc9024
1531c62183a0
hex1bf1587138

120013222200 has 192 divisors, whose sum is σ = 382833413760. Its totient is φ = 31078494720.

The previous prime is 120013222187. The next prime is 120013222223. The reversal of 120013222200 is 2222310021.

It is a happy number.

120013222200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120013222200.

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 47 ways as a sum of consecutive naturals, for example, 12138459 + ... + 12148341.

It is an arithmetic number, because the mean of its divisors is an integer number (1993924030).

Almost surely, 2120013222200 is an apocalyptic number.

120013222200 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 120013222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191416706880).

120013222200 is an abundant number, since it is smaller than the sum of its proper divisors (262820191560).

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

120013222200 is a wasteful number, since it uses less digits than its factorization.

120013222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 120013222200 its reverse (2222310021), we get a palindrome (122235532221).

The spelling of 120013222200 in words is "one hundred twenty billion, thirteen million, two hundred twenty-two thousand, two hundred".