Search a number
-
+
121047200 = 2552831823
BaseRepresentation
bin1110011011100…
…00100010100000
322102202211112122
413031300202200
5221442002300
620002243412
72666612201
oct715604240
9272684478
10121047200
116236760a
1234656568
131c102781
141210d5a8
15a960c85
hex73708a0

121047200 has 72 divisors (see below), whose sum is σ = 299230848. Its totient is φ = 47809280.

The previous prime is 121047181. The next prime is 121047203. The reversal of 121047200 is 2740121.

It is not an unprimeable number, because it can be changed into a prime (121047203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 65489 + ... + 67311.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984).

Almost surely, 2121047200 is an apocalyptic number.

121047200 is a gapful number since it is divisible by the number (10) 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 121047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

121047200 is an abundant number, since it is smaller than the sum of its proper divisors (178183648).

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

121047200 is a wasteful number, since it uses less digits than its factorization.

121047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 121047200 is about 11002.1452453601. The cubic root of 121047200 is about 494.6730487266.

Adding to 121047200 its reverse (2740121), we get a palindrome (123787321).

The spelling of 121047200 in words is "one hundred twenty-one million, forty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 160 166 200 332 400 415 664 800 830 1328 1660 1823 2075 2656 3320 3646 4150 6640 7292 8300 9115 13280 14584 16600 18230 29168 33200 36460 45575 58336 66400 72920 91150 145840 151309 182300 291680 302618 364600 605236 729200 756545 1210472 1458400 1513090 2420944 3026180 3782725 4841888 6052360 7565450 12104720 15130900 24209440 30261800 60523600 121047200