Search a number
-
+
121158912 = 283731727
BaseRepresentation
bin1110011100010…
…11110100000000
322102222111210010
413032023310000
5222004041122
620004504520
73000555660
oct716136400
9272874703
10121158912
1162433536
12346ab140
131c141584
141213c1a0
15a983e0c
hex738bd00

121158912 has 144 divisors (see below), whose sum is σ = 380936192. Its totient is φ = 33454080.

The previous prime is 121158853. The next prime is 121158913. The reversal of 121158912 is 219851121.

It is a self number, because there is not a number n which added to its sum of digits gives 121158912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121158913) 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, 166293 + ... + 167019.

Almost surely, 2121158912 is an apocalyptic number.

121158912 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 121158912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190468096).

121158912 is an abundant number, since it is smaller than the sum of its proper divisors (259777280).

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

121158912 is an equidigital number, since it uses as much as digits as its factorization.

121158912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 770 counting only the distinct ones).

The product of its digits is 1440, while the sum is 30.

The square root of 121158912 is about 11007.2209026620. The cubic root of 121158912 is about 494.8251765043.

The spelling of 121158912 in words is "one hundred twenty-one million, one hundred fifty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 727 744 768 868 896 992 1302 1344 1454 1488 1736 1792 1984 2181 2604 2688 2908 2976 3472 3968 4362 5089 5208 5376 5816 5952 6944 7936 8724 10178 10416 11632 11904 13888 15267 17448 20356 20832 22537 23264 23808 27776 30534 34896 40712 41664 45074 46528 55552 61068 67611 69792 81424 83328 90148 93056 122136 135222 139584 157759 162848 166656 180296 186112 244272 270444 279168 315518 325696 360592 473277 488544 540888 558336 631036 651392 721184 946554 977088 1081776 1262072 1302784 1442368 1893108 1954176 2163552 2524144 2884736 3786216 3908352 4327104 5048288 5769472 7572432 8654208 10096576 15144864 17308416 20193152 30289728 40386304 60579456 121158912