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122321052 = 223272174079
BaseRepresentation
bin1110100101001…
…11100010011100
322112011112221100
413102213202130
5222303233202
620045433100
73013466100
oct722474234
9275145840
10122321052
1163057687
1234b6b790
131c45a529
1412361900
15ab1341c
hex74a789c

122321052 has 108 divisors (see below), whose sum is σ = 380933280. Its totient is φ = 32884992.

The previous prime is 122321051. The next prime is 122321057. The reversal of 122321052 is 250123221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27949 + ... + 32027.

It is an arithmetic number, because the mean of its divisors is an integer number (3527160).

Almost surely, 2122321052 is an apocalyptic number.

122321052 is a gapful number since it is divisible by the number (12) 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 122321052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

122321052 is an abundant number, since it is smaller than the sum of its proper divisors (258612228).

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

122321052 is a wasteful number, since it uses less digits than its factorization.

122321052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122321052 is about 11059.8848095267. The cubic root of 122321052 is about 496.4022437247.

Adding to 122321052 its reverse (250123221), we get a palindrome (372444273).

The spelling of 122321052 in words is "one hundred twenty-two million, three hundred twenty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 3332 4079 4284 4998 7497 8158 9996 12237 14994 16316 24474 28553 29988 36711 48948 57106 69343 73422 85659 114212 138686 146844 171318 199871 208029 256977 277372 342636 399742 416058 485401 513954 599613 624087 799484 832116 970802 1027908 1199226 1248174 1456203 1798839 1941604 2398452 2496348 2912406 3397807 3597678 4368609 5824812 6795614 7195356 8737218 10193421 13591228 17474436 20386842 30580263 40773684 61160526 122321052