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122875296 = 25347113241
BaseRepresentation
bin1110101001011…
…10110110100000
322120012201012220
413110232312200
5222424002141
620105351040
73021265005
oct724566640
9276181186
10122875296
11633a6035
1235198480
131c5c289b
14124678ac
15abc2766
hex752eda0

122875296 has 96 divisors (see below), whose sum is σ = 333704448. Its totient is φ = 39567360.

The previous prime is 122875283. The next prime is 122875297. The reversal of 122875296 is 692578221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (122875297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509736 + ... + 509976.

It is an arithmetic number, because the mean of its divisors is an integer number (3476088).

Almost surely, 2122875296 is an apocalyptic number.

122875296 is a gapful number since it is divisible by the number (16) 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 122875296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166852224).

122875296 is an abundant number, since it is smaller than the sum of its proper divisors (210829152).

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

122875296 is a wasteful number, since it uses less digits than its factorization.

122875296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 122875296 is about 11084.9129901863. The cubic root of 122875296 is about 497.1508569386.

The spelling of 122875296 in words is "one hundred twenty-two million, eight hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 113 141 188 226 241 282 339 376 452 482 564 678 723 752 904 964 1128 1356 1446 1504 1808 1928 2256 2712 2892 3616 3856 4512 5311 5424 5784 7712 10622 10848 11327 11568 15933 21244 22654 23136 27233 31866 33981 42488 45308 54466 63732 67962 81699 84976 90616 108932 127464 135924 163398 169952 181232 217864 254928 271848 326796 362464 435728 509856 543696 653592 871456 1087392 1279951 1307184 2559902 2614368 3839853 5119804 7679706 10239608 15359412 20479216 30718824 40958432 61437648 122875296