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121122306 = 2326729017
BaseRepresentation
bin1110011100000…
…10111000000010
322102220122120100
413032002320002
5222001403211
620004023230
73000344154
oct716027002
9272818510
10121122306
1162408a88
1234691b16
131c12aa06
141212cad4
15a978156
hex7382e02

121122306 has 12 divisors (see below), whose sum is σ = 262431702. Its totient is φ = 40374096.

The previous prime is 121122293. The next prime is 121122307. The reversal of 121122306 is 603221121.

It can be written as a sum of positive squares in only one way, i.e., 96530625 + 24591681 = 9825^2 + 4959^2 .

It is a super-4 number, since 4×1211223064 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6729017 = 121122306 / (1 + 2 + 1 + 1 + 2 + 2 + 3 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (121122307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3364491 + ... + 3364526.

Almost surely, 2121122306 is an apocalyptic number.

121122306 is an abundant number, since it is smaller than the sum of its proper divisors (141309396).

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

121122306 is a wasteful number, since it uses less digits than its factorization.

121122306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729025 (or 6729022 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 121122306 is about 11005.5579595039. The cubic root of 121122306 is about 494.7753372900.

Adding to 121122306 its reverse (603221121), we get a palindrome (724343427).

The spelling of 121122306 in words is "one hundred twenty-one million, one hundred twenty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 18 6729017 13458034 20187051 40374102 60561153 121122306