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121412256 = 2537792287
BaseRepresentation
bin1110011110010…
…01101010100000
322110110101022020
413033021222200
5222040143011
620014141440
73002662410
oct717115240
9273411266
10121412256
1162596909
12347b1880
131c1cc994
14121a6640
15a9d4006
hex73c9aa0

121412256 has 96 divisors (see below), whose sum is σ = 369008640. Its totient is φ = 34235136.

The previous prime is 121412251. The next prime is 121412267. The reversal of 121412256 is 652214121.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (121412251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51945 + ... + 54231.

It is an arithmetic number, because the mean of its divisors is an integer number (3843840).

Almost surely, 2121412256 is an apocalyptic number.

121412256 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 121412256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184504320).

121412256 is an abundant number, since it is smaller than the sum of its proper divisors (247596384).

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

121412256 is a wasteful number, since it uses less digits than its factorization.

121412256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2378 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 121412256 is about 11018.7229750094. The cubic root of 121412256 is about 495.1698305127.

Adding to 121412256 its reverse (652214121), we get a palindrome (773626377).

The spelling of 121412256 in words is "one hundred twenty-one million, four hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1106 1264 1659 1896 2212 2287 2528 3318 3792 4424 4574 6636 6861 7584 8848 9148 13272 13722 16009 17696 18296 26544 27444 32018 36592 48027 53088 54888 64036 73184 96054 109776 128072 180673 192108 219552 256144 361346 384216 512288 542019 722692 768432 1084038 1264711 1445384 1536864 2168076 2529422 2890768 3794133 4336152 5058844 5781536 7588266 8672304 10117688 15176532 17344608 20235376 30353064 40470752 60706128 121412256