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121150848 = 2737133467
BaseRepresentation
bin1110011100010…
…01110110000000
322102222002201110
413032021312000
5222003311343
620004403320
73000523320
oct716116600
9272862643
10121150848
1162428475
12346a6540
131c13a9c0
1412139280
15a981833
hex7389d80

121150848 has 128 divisors (see below), whose sum is σ = 396184320. Its totient is φ = 31942656.

The previous prime is 121150837. The next prime is 121150853. The reversal of 121150848 is 848051121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1211508482 = 29355055942238208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33211 + ... + 36677.

It is an arithmetic number, because the mean of its divisors is an integer number (3095190).

Almost surely, 2121150848 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 121150848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198092160).

121150848 is an abundant number, since it is smaller than the sum of its proper divisors (275033472).

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

121150848 is a wasteful number, since it uses less digits than its factorization.

121150848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 121150848 is about 11006.8545915716. The cubic root of 121150848 is about 494.8141981985.

The spelling of 121150848 in words is "one hundred twenty-one million, one hundred fifty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 3467 4368 4992 5824 6934 8736 10401 11648 13868 17472 20802 24269 27736 34944 41604 45071 48538 55472 72807 83208 90142 97076 110944 135213 145614 166416 180284 194152 221888 270426 291228 315497 332832 360568 388304 443776 540852 582456 630994 665664 721136 776608 946491 1081704 1164912 1261988 1331328 1442272 1553216 1892982 2163408 2329824 2523976 2884544 3106432 3785964 4326816 4659648 5047952 5769088 7571928 8653632 9319296 10095904 15143856 17307264 20191808 30287712 40383616 60575424 121150848