Search a number
-
+
121045216 = 2553149479
BaseRepresentation
bin1110011011100…
…00000011100000
322102202201211011
413031300003200
5221441421331
620002230304
72666603335
oct715600340
9272681734
10121045216
1162366076
1234655394
131c1018b6
141210c98c
15a9603b1
hex73700e0

121045216 has 48 divisors (see below), whose sum is σ = 244944000. Its totient is φ = 58859008.

The previous prime is 121045193. The next prime is 121045229. The reversal of 121045216 is 612540121.

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, 252465 + ... + 252943.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2121045216 is an apocalyptic number.

121045216 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 121045216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122472000).

121045216 is an abundant number, since it is smaller than the sum of its proper divisors (123898784).

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

121045216 is a wasteful number, since it uses less digits than its factorization.

121045216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 121045216 is about 11002.0550807565. The cubic root of 121045216 is about 494.6703460985.

Adding to 121045216 its reverse (612540121), we get a palindrome (733585337).

The spelling of 121045216 in words is "one hundred twenty-one million, forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 53 106 149 212 298 424 479 596 848 958 1192 1696 1916 2384 3832 4768 7664 7897 15328 15794 25387 31588 50774 63176 71371 101548 126352 142742 203096 252704 285484 406192 570968 812384 1141936 2283872 3782663 7565326 15130652 30261304 60522608 121045216