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121134276 = 22322924001
BaseRepresentation
bin1110011100001…
…01110011000100
322102221020222200
413032011303010
5222002244101
620004154500
73000424104
oct716056304
9272836880
10121134276
1162416a7a
1234698a30
131c1332b3
1412133204
15a97b986
hex7385cc4

121134276 has 54 divisors (see below), whose sum is σ = 317202522. Its totient is φ = 38976000.

The previous prime is 121134271. The next prime is 121134281. The reversal of 121134276 is 672431121.

It is an interprime number because it is at equal distance from previous prime (121134271) and next prime (121134281).

It can be written as a sum of positive squares in 3 ways, for example, as 1887876 + 119246400 = 1374^2 + 10920^2 .

It is not an unprimeable number, because it can be changed into a prime (121134271) 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 17 ways as a sum of consecutive naturals, for example, 28276 + ... + 32276.

Almost surely, 2121134276 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 121134276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158601261).

121134276 is an abundant number, since it is smaller than the sum of its proper divisors (196068246).

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

121134276 is a wasteful number, since it uses less digits than its factorization.

121134276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4035 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 121134276 is about 11006.1017622045. The cubic root of 121134276 is about 494.7916355973.

Adding to 121134276 its reverse (672431121), we get a palindrome (793565397).

The spelling of 121134276 in words is "one hundred twenty-one million, one hundred thirty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 4001 5046 7569 8002 10092 12003 15138 16004 24006 30276 36009 48012 72018 116029 144036 232058 348087 464116 696174 1044261 1392348 2088522 3364841 4177044 6729682 10094523 13459364 20189046 30283569 40378092 60567138 121134276