Base | Representation |
---|---|
bin | 111000011110000100… |
… | …1110000100000000000 |
3 | 102121000101122200000000 |
4 | 1300330021300200000 |
5 | 3441324134301300 |
6 | 131413200000000 |
7 | 11522066221512 |
oct | 1607411604000 |
9 | 377011580000 |
10 | 121268275200 |
11 | 4747a864046 |
12 | 1b604600000 |
13 | b587b95277 |
14 | 5c25969bb2 |
15 | 324b4cac00 |
hex | 1c3c270800 |
121268275200 has 972 divisors, whose sum is σ = 475970248845. Its totient is φ = 30636195840.
The previous prime is 121268275189. The next prime is 121268275211. The reversal of 121268275200 is 2572862121.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
121268275200 is a `hidden beast` number, since 1 + 2 + 126 + 8 + 2 + 7 + 520 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (121268275189) and next prime (121268275211).
It can be written as a sum of positive squares in 2 ways, for example, as 118842909696 + 2425365504 = 344736^2 + 49248^2 .
It is a tau number, because it is divible by the number of its divisors (972).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=246240.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6382540791 + ... + 6382540809.
Almost surely, 2121268275200 is an apocalyptic number.
121268275200 is a gapful number since it is divisible by the number (10) 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 121268275200
121268275200 is an abundant number, since it is smaller than the sum of its proper divisors (354701973645).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121268275200 is an frugal number, since it uses more digits than its factorization.
121268275200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 94 (or 29 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 36.
The spelling of 121268275200 in words is "one hundred twenty-one billion, two hundred sixty-eight million, two hundred seventy-five thousand, two hundred".
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