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122721330 = 23523296133
BaseRepresentation
bin1110101000010…
…01010000110010
322112220220000110
413110021100302
5222404040310
620102202150
73020054064
oct724112062
9275826013
10122721330
1163300396
1235123356
131c56a794
1412427734
15ab91d20
hex7509432

122721330 has 64 divisors (see below), whose sum is σ = 317986560. Its totient is φ = 30218496.

The previous prime is 122721311. The next prime is 122721367. The reversal of 122721330 is 33127221.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122721297 and 122721306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16944 + ... + 23076.

It is an arithmetic number, because the mean of its divisors is an integer number (4968540).

Almost surely, 2122721330 is an apocalyptic number.

122721330 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 122721330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158993280).

122721330 is an abundant number, since it is smaller than the sum of its proper divisors (195265230).

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

122721330 is a wasteful number, since it uses less digits than its factorization.

122721330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 122721330 is about 11077.9659685341. The cubic root of 122721330 is about 496.9431224189.

Adding to 122721330 its reverse (33127221), we get a palindrome (155848551).

The spelling of 122721330 in words is "one hundred twenty-two million, seven hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1334 2001 3335 4002 6133 6670 10005 12266 18399 20010 30665 36798 61330 91995 141059 177857 183990 282118 355714 423177 533571 705295 846354 889285 1067142 1410590 1778570 2115885 2667855 4090711 4231770 5335710 8181422 12272133 20453555 24544266 40907110 61360665 122721330