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122505140220 = 223529536172153
BaseRepresentation
bin111001000010111100…
…0000001011111111100
3102201012121000220211120
41302011320001133330
54001342303441340
6132140022150540
711564535340131
oct1620570013774
9381177026746
10122505140220
1147a54a5a041
121b8aa882450
13b7241c6368
145d01d34588
1532bed994d0
hex1c85e017fc

122505140220 has 192 divisors, whose sum is σ = 362291771520. Its totient is φ = 30881923072.

The previous prime is 122505140213. The next prime is 122505140267. The reversal of 122505140220 is 22041505221.

122505140220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 56898664 + ... + 56900816.

It is an arithmetic number, because the mean of its divisors is an integer number (1886936310).

Almost surely, 2122505140220 is an apocalyptic number.

122505140220 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 122505140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181145885760).

122505140220 is an abundant number, since it is smaller than the sum of its proper divisors (239786631300).

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

122505140220 is a wasteful number, since it uses less digits than its factorization.

122505140220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 122505140220 its reverse (22041505221), we get a palindrome (144546645441).

The spelling of 122505140220 in words is "one hundred twenty-two billion, five hundred five million, one hundred forty thousand, two hundred twenty".