Search a number
-
+
121725912 = 233711199331
BaseRepresentation
bin1110100000101…
…10001111011000
322111001022120010
413100112033120
5222130212122
620025001520
73005440020
oct720261730
9274038503
10121725912
1162790530
12349232a0
131c2ac689
1412248a80
15aa46e0c
hex74163d8

121725912 has 128 divisors (see below), whose sum is σ = 382464000. Its totient is φ = 31363200.

The previous prime is 121725889. The next prime is 121725931. The reversal of 121725912 is 219527121.

It is a self number, because there is not a number n which added to its sum of digits gives 121725912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367587 + ... + 367917.

It is an arithmetic number, because the mean of its divisors is an integer number (2988000).

Almost surely, 2121725912 is an apocalyptic number.

121725912 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 121725912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191232000).

121725912 is an abundant number, since it is smaller than the sum of its proper divisors (260738088).

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

121725912 is a wasteful number, since it uses less digits than its factorization.

121725912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 121725912 is about 11032.9466598910. The cubic root of 121725912 is about 495.5958705191.

The spelling of 121725912 in words is "one hundred twenty-one million, seven hundred twenty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 199 231 264 308 331 398 462 597 616 662 796 924 993 1194 1324 1393 1592 1848 1986 2189 2317 2388 2648 2786 3641 3972 4179 4378 4634 4776 5572 6567 6951 7282 7944 8358 8756 9268 10923 11144 13134 13902 14564 15323 16716 17512 18536 21846 25487 26268 27804 29128 30646 33432 43692 45969 50974 52536 55608 61292 65869 76461 87384 91938 101948 122584 131738 152922 183876 197607 203896 263476 305844 367752 395214 461083 526952 611688 724559 790428 922166 1383249 1449118 1580856 1844332 2173677 2766498 2898236 3688664 4347354 5071913 5532996 5796472 8694708 10143826 11065992 15215739 17389416 20287652 30431478 40575304 60862956 121725912