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122712340 = 22529211573
BaseRepresentation
bin1110101000001…
…11000100010100
322112220102200111
413110013010110
5222403243330
620102052404
73020015632
oct724070424
9275812614
10122712340
11632a4663
123511a104
131c56666a
1412424352
15ab8e32a
hex7507114

122712340 has 24 divisors (see below), whose sum is σ = 266583240. Its totient is φ = 47392128.

The previous prime is 122712319. The next prime is 122712349. The reversal of 122712340 is 43217221.

It can be written as a sum of positive squares in 4 ways, for example, as 11957764 + 110754576 = 3458^2 + 10524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122712349) 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 7 ways as a sum of consecutive naturals, for example, 105207 + ... + 106366.

It is an arithmetic number, because the mean of its divisors is an integer number (11107635).

Almost surely, 2122712340 is an apocalyptic number.

122712340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122712340 is an abundant number, since it is smaller than the sum of its proper divisors (143870900).

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

122712340 is a wasteful number, since it uses less digits than its factorization.

122712340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211611 (or 211609 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 122712340 is about 11077.5602006940. The cubic root of 122712340 is about 496.9309875337.

Adding to 122712340 its reverse (43217221), we get a palindrome (165929561).

The spelling of 122712340 in words is "one hundred twenty-two million, seven hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 211573 423146 846292 1057865 2115730 4231460 6135617 12271234 24542468 30678085 61356170 122712340