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122028288 = 283295479
BaseRepresentation
bin1110100011000…
…00000100000000
322111121200100020
413101200010000
5222214401123
620035253440
73011136414
oct721400400
9274550306
10122028288
1162977728
1234a4a280
131c3871b5
14122c6d44
15aaa67e3
hex7460100

122028288 has 72 divisors (see below), whose sum is σ = 336033600. Its totient is φ = 39266304.

The previous prime is 122028253. The next prime is 122028293. The reversal of 122028288 is 882820221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19533 + ... + 25011.

Almost surely, 2122028288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168016800).

122028288 is an abundant number, since it is smaller than the sum of its proper divisors (214005312).

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

122028288 is an equidigital number, since it uses as much as digits as its factorization.

122028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 122028288 is about 11046.6414805587. The cubic root of 122028288 is about 496.0058965653.

The spelling of 122028288 in words is "one hundred twenty-two million, twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5479 5568 7424 10958 11136 16437 21916 22272 32874 43832 65748 87664 131496 158891 175328 262992 317782 350656 476673 525984 635564 701312 953346 1051968 1271128 1402624 1906692 2103936 2542256 3813384 4207872 5084512 7626768 10169024 15253536 20338048 30507072 40676096 61014144 122028288