Search a number
-
+
121245056 = 272989367
BaseRepresentation
bin1110011101000…
…00110110000000
322110010212221122
413032200312000
5222014320211
620010411412
73001365062
oct716406600
9273125848
10121245056
1162492229
1234730b68
131c17184a
1412161732
15a99e6db
hex73a0d80

121245056 has 64 divisors (see below), whose sum is σ = 253368000. Its totient is φ = 57716736.

The previous prime is 121245049. The next prime is 121245073. The reversal of 121245056 is 650542121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330185 + ... + 330551.

It is an arithmetic number, because the mean of its divisors is an integer number (3958875).

Almost surely, 2121245056 is an apocalyptic number.

121245056 is a gapful number since it is divisible by the number (16) 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 121245056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126684000).

121245056 is an abundant number, since it is smaller than the sum of its proper divisors (132122944).

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

121245056 is an equidigital number, since it uses as much as digits as its factorization.

121245056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 121245056 is about 11011.1332750085. The cubic root of 121245056 is about 494.9424223067.

Adding to 121245056 its reverse (650542121), we get a palindrome (771787177).

The spelling of 121245056 in words is "one hundred twenty-one million, two hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 89 116 128 178 232 356 367 464 712 734 928 1424 1468 1856 2581 2848 2936 3712 5162 5696 5872 10324 10643 11392 11744 20648 21286 23488 32663 41296 42572 46976 65326 82592 85144 130652 165184 170288 261304 330368 340576 522608 681152 947227 1045216 1362304 1894454 2090432 3788908 4180864 7577816 15155632 30311264 60622528 121245056