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122003002320 = 243529314753227
BaseRepresentation
bin111000110011111110…
…0100001001111010000
3102122220121011200010120
41301213330201033100
53444330232033240
6132014123430240
711546230260213
oct1614774411720
9378817150116
10122003002320
1147817572441
121b78a685380
13b674173144
145c9538377a
153290c5cad0
hex1c67f213d0

122003002320 has 640 divisors, whose sum is σ = 422098698240. Its totient is φ = 29062225920.

The previous prime is 122003002309. The next prime is 122003002321. The reversal of 122003002320 is 23200300221.

122003002320 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 122003002320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003002321) 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 127 ways as a sum of consecutive naturals, for example, 537458047 + ... + 537458273.

It is an arithmetic number, because the mean of its divisors is an integer number (659529216).

Almost surely, 2122003002320 is an apocalyptic number.

122003002320 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 122003002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211049349120).

122003002320 is an abundant number, since it is smaller than the sum of its proper divisors (300095695920).

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

122003002320 is a wasteful number, since it uses less digits than its factorization.

122003002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 122003002320 its reverse (23200300221), we get a palindrome (145203302541).

The spelling of 122003002320 in words is "one hundred twenty-two billion, three million, two thousand, three hundred twenty".