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122341125 = 3531073049
BaseRepresentation
bin1110100101011…
…00011100000101
322112012120110210
413102230130011
5222304404000
620050110033
73013611444
oct722543405
9275176423
10122341125
1163070775
1234b7b319
131c4666ca
1412368d5b
15ab19350
hex74ac705

122341125 has 32 divisors (see below), whose sum is σ = 205545600. Its totient is φ = 64617600.

The previous prime is 122341123. The next prime is 122341127. The reversal of 122341125 is 521143221.

It is an interprime number because it is at equal distance from previous prime (122341123) and next prime (122341127).

It is not a de Polignac number, because 122341125 - 21 = 122341123 is a prime.

It is a super-3 number, since 3×1223411253 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122341123) 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 31 ways as a sum of consecutive naturals, for example, 38601 + ... + 41649.

It is an arithmetic number, because the mean of its divisors is an integer number (6423300).

Almost surely, 2122341125 is an apocalyptic number.

122341125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122341125 is a deficient number, since it is larger than the sum of its proper divisors (83204475).

122341125 is a wasteful number, since it uses less digits than its factorization.

122341125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3164 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 122341125 is about 11060.7922410648. The cubic root of 122341125 is about 496.4293955983.

Adding to 122341125 its reverse (521143221), we get a palindrome (643484346).

The spelling of 122341125 in words is "one hundred twenty-two million, three hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 107 125 321 375 535 1605 2675 3049 8025 9147 13375 15245 40125 45735 76225 228675 326243 381125 978729 1143375 1631215 4893645 8156075 24468225 40780375 122341125