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122440114220 = 225172517431931
BaseRepresentation
bin111001000000111111…
…1111110000000101100
3102201001001200020221012
41302001333332000230
54001224132123340
6132125340324352
711563115541014
oct1620177760054
9381031606835
10122440114220
1147a21286046
121b890b436b8
13b7138a9838
145cd7448c44
1532b9302565
hex1c81ffe02c

122440114220 has 96 divisors (see below), whose sum is σ = 273843472896. Its totient is φ = 45825920000.

The previous prime is 122440114213. The next prime is 122440114229. The reversal of 122440114220 is 22411044221.

It is not an unprimeable number, because it can be changed into a prime (122440114229) 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, 63406655 + ... + 63408585.

It is an arithmetic number, because the mean of its divisors is an integer number (2852536176).

Almost surely, 2122440114220 is an apocalyptic number.

122440114220 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 122440114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136921736448).

122440114220 is an abundant number, since it is smaller than the sum of its proper divisors (151403358676).

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

122440114220 is a wasteful number, since it uses less digits than its factorization.

122440114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 122440114220 its reverse (22411044221), we get a palindrome (144851158441).

The spelling of 122440114220 in words is "one hundred twenty-two billion, four hundred forty million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 251 340 502 743 1004 1255 1486 1931 2510 2972 3715 3862 4267 5020 7430 7724 8534 9655 12631 14860 17068 19310 21335 25262 32827 38620 42670 50524 63155 65654 85340 126310 131308 164135 186493 252620 328270 372986 484681 656540 745972 932465 969362 1434733 1864930 1938724 2423405 2869466 3170381 3729860 4846810 5738932 6340762 7173665 8239577 9693620 12681524 14347330 15851905 16479154 24390461 28694660 31703810 32958308 41197885 48780922 63407620 82395770 97561844 121952305 164791540 243904610 360117983 487809220 720235966 1440471932 1800589915 3601179830 6122005711 7202359660 12244011422 24488022844 30610028555 61220057110 122440114220