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121867272 = 233213012
BaseRepresentation
bin1110100001110…
…00110000001000
322111022111110200
413100320300020
5222144223042
620032012200
73006566112
oct720706010
9274274420
10121867272
116287775a
1234991060
131c32bb17
14122843b2
15aa73c4c
hex7438c08

121867272 has 36 divisors (see below), whose sum is σ = 330311085. Its totient is φ = 40591200.

The previous prime is 121867261. The next prime is 121867303. The reversal of 121867272 is 272768121.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 65707236 + 56160036 = 8106^2 + 7494^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7806.

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 8 ways as a sum of consecutive naturals, for example, 93022 + ... + 94322.

Almost surely, 2121867272 is an apocalyptic number.

121867272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121867272 is an abundant number, since it is smaller than the sum of its proper divisors (208443813).

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

121867272 is an equidigital number, since it uses as much as digits as its factorization.

121867272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 1306 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 121867272 is about 11039.3510678844. The cubic root of 121867272 is about 495.7876410562.

The spelling of 121867272 in words is "one hundred twenty-one million, eight hundred sixty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1301 2602 3903 5204 7806 10408 11709 15612 23418 31224 46836 93672 1692601 3385202 5077803 6770404 10155606 13540808 15233409 20311212 30466818 40622424 60933636 121867272