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121399344 = 24331159433
BaseRepresentation
bin1110011110001…
…10100000110000
322110102201121000
413033012200300
5222034234334
620014002000
73002606643
oct717064060
9273381530
10121399344
1162588140
12347a6300
131c1c6b41
14121a1a5a
15a9d0299
hex73c6830

121399344 has 160 divisors (see below), whose sum is σ = 387475200. Its totient is φ = 36080640.

The previous prime is 121399321. The next prime is 121399357. The reversal of 121399344 is 443993121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121399299 and 121399308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280152 + ... + 280584.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 2121399344 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 121399344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193737600).

121399344 is an abundant number, since it is smaller than the sum of its proper divisors (266075856).

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

121399344 is a wasteful number, since it uses less digits than its factorization.

121399344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 121399344 is about 11018.1370476138. The cubic root of 121399344 is about 495.1522763829.

The spelling of 121399344 in words is "one hundred twenty-one million, three hundred ninety-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 59 66 72 88 99 108 118 132 144 176 177 198 216 236 264 297 354 396 432 433 472 528 531 594 649 708 792 866 944 1062 1188 1298 1299 1416 1584 1593 1732 1947 2124 2376 2596 2598 2832 3186 3464 3894 3897 4248 4752 4763 5192 5196 5841 6372 6928 7788 7794 8496 9526 10384 10392 11682 11691 12744 14289 15576 15588 17523 19052 20784 23364 23382 25488 25547 28578 31152 31176 35046 38104 42867 46728 46764 51094 57156 62352 70092 76208 76641 85734 93456 93528 102188 114312 128601 140184 153282 171468 187056 204376 228624 229923 257202 280368 281017 306564 342936 408752 459846 514404 562034 613128 685872 689769 843051 919692 1028808 1124068 1226256 1379538 1686102 1839384 2057616 2248136 2529153 2759076 3372204 3678768 4496272 5058306 5518152 6744408 7587459 10116612 11036304 13488816 15174918 20233224 30349836 40466448 60699672 121399344