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121149424 = 241141103163
BaseRepresentation
bin1110011100010…
…01011111110000
322102222000202201
413032021133300
5222003240144
620004352544
73000516214
oct716113760
9272860681
10121149424
11624273a0
12346a5754
131c13a166
1412138944
15a9811d4
hex73897f0

121149424 has 80 divisors (see below), whose sum is σ = 266482944. Its totient is φ = 52876800.

The previous prime is 121149421. The next prime is 121149437. The reversal of 121149424 is 424941121.

It is a junction number, because it is equal to n+sod(n) for n = 121149392 and 121149401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121149421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743167 + ... + 743329.

Almost surely, 2121149424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121149424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133241472).

121149424 is an abundant number, since it is smaller than the sum of its proper divisors (145333520).

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

121149424 is a wasteful number, since it uses less digits than its factorization.

121149424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 121149424 is about 11006.7899044181. The cubic root of 121149424 is about 494.8122595185.

The spelling of 121149424 in words is "one hundred twenty-one million, one hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 103 163 164 176 206 326 328 412 451 652 656 824 902 1133 1304 1648 1793 1804 2266 2608 3586 3608 4223 4532 6683 7172 7216 8446 9064 13366 14344 16789 16892 18128 26732 28688 33578 33784 46453 53464 67156 67568 73513 92906 106928 134312 147026 184679 185812 268624 294052 369358 371624 588104 688349 738716 743248 1176208 1376698 1477432 2753396 2954864 5506792 7571839 11013584 15143678 30287356 60574712 121149424