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121672125 = 345361197
BaseRepresentation
bin1110100000010…
…01000110111101
322110221120210000
413100021012331
5222122002000
620023504513
73005124141
oct720110675
9273846700
10121672125
1162754083
12348b8139
131c291053
1412233221
15aa36000
hex74091bd

121672125 has 80 divisors (see below), whose sum is σ = 231721776. Its totient is φ = 63504000.

The previous prime is 121672123. The next prime is 121672141. The reversal of 121672125 is 521276121.

121672125 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 8 ways, for example, as 37234404 + 84437721 = 6102^2 + 9189^2 .

It is not a de Polignac number, because 121672125 - 21 = 121672123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121672123) 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 79 ways as a sum of consecutive naturals, for example, 617527 + ... + 617723.

Almost surely, 2121672125 is an apocalyptic number.

121672125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121672125 is a deficient number, since it is larger than the sum of its proper divisors (110049651).

121672125 is an equidigital number, since it uses as much as digits as its factorization.

121672125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 121672125 is about 11030.5088277921. The cubic root of 121672125 is about 495.5228634881.

The spelling of 121672125 in words is "one hundred twenty-one million, six hundred seventy-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 61 75 81 125 135 183 197 225 305 375 405 549 591 675 915 985 1125 1525 1647 1773 2025 2745 2955 3375 4575 4925 4941 5319 7625 8235 8865 10125 12017 13725 14775 15957 22875 24625 24705 26595 36051 41175 44325 60085 68625 73875 79785 108153 123525 132975 180255 205875 221625 300425 324459 398925 540765 617625 664875 901275 973377 1502125 1622295 1994625 2703825 4506375 4866885 8111475 13519125 24334425 40557375 121672125