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121145232 = 24313232367
BaseRepresentation
bin1110011100010…
…00011110010000
322102221211000110
413032020132100
5222003121412
620004321320
73000501045
oct716103620
9272854013
10121145232
116242422a
12346a3240
131c138290
14121371cc
15a97ed3c
hex7388790

121145232 has 120 divisors (see below), whose sum is σ = 353282944. Its totient is φ = 35557632.

The previous prime is 121145203. The next prime is 121145237. The reversal of 121145232 is 232541121.

It is a super-3 number, since 3×1211452323 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121145199 and 121145208.

It is not an unprimeable number, because it can be changed into a prime (121145237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329913 + ... + 330279.

Almost surely, 2121145232 is an apocalyptic number.

121145232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121145232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176641472).

121145232 is an abundant number, since it is smaller than the sum of its proper divisors (232137712).

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

121145232 is a wasteful number, since it uses less digits than its factorization.

121145232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 408 counting only the distinct ones).

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

The square root of 121145232 is about 11006.5994748605. The cubic root of 121145232 is about 494.8065523049.

Adding to 121145232 its reverse (232541121), we get a palindrome (353686353).

The spelling of 121145232 in words is "one hundred twenty-one million, one hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 367 368 529 552 598 624 734 897 1058 1101 1104 1196 1468 1587 1794 2116 2202 2392 2936 3174 3588 4232 4404 4771 4784 5872 6348 6877 7176 8441 8464 8808 9542 12696 13754 14313 14352 16882 17616 19084 20631 25323 25392 27508 28626 33764 38168 41262 50646 55016 57252 67528 76336 82524 101292 109733 110032 114504 135056 165048 194143 202584 219466 229008 329199 330096 388286 405168 438932 582429 658398 776572 877864 1164858 1316796 1553144 1755728 2329716 2523859 2633592 3106288 4659432 5047718 5267184 7571577 9318864 10095436 15143154 20190872 30286308 40381744 60572616 121145232