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122120021010 = 23513661473719
BaseRepresentation
bin111000110111011101…
…0111010010000010010
3102200012202100211121010
41301232322322100102
54000100211133020
6132033503511350
711552151023451
oct1615672722022
9380182324533
10122120021010
11478776282a9
121b8018b8556
13b692495080
145ca6b24b98
15329b174de0
hex1c6eeba412

122120021010 has 64 divisors (see below), whose sum is σ = 316111461120. Its totient is φ = 30014772480.

The previous prime is 122120020991. The next prime is 122120021017. The reversal of 122120021010 is 10120021221.

It is not an unprimeable number, because it can be changed into a prime (122120021017) 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 31 ways as a sum of consecutive naturals, for example, 20931 + ... + 494649.

It is an arithmetic number, because the mean of its divisors is an integer number (4939241580).

Almost surely, 2122120021010 is an apocalyptic number.

122120021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122120021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158055730560).

122120021010 is an abundant number, since it is smaller than the sum of its proper divisors (193991440110).

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

122120021010 is a wasteful number, since it uses less digits than its factorization.

122120021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474403.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122120021010 its reverse (10120021221), we get a palindrome (132240042231).

The spelling of 122120021010 in words is "one hundred twenty-two billion, one hundred twenty million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 661 1322 1983 3305 3966 6610 8593 9915 17186 19830 25779 42965 51558 85930 128895 257790 473719 947438 1421157 2368595 2842314 4737190 6158347 7105785 12316694 14211570 18475041 30791735 36950082 61583470 92375205 184750410 313128259 626256518 939384777 1565641295 1878769554 3131282590 4070667367 4696923885 8141334734 9393847770 12212002101 20353336835 24424004202 40706673670 61060010505 122120021010