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121130440 = 23517533361
BaseRepresentation
bin1110011100001…
…00110111001000
322102221001201121
413032010313020
5222002133230
620004125024
73000406654
oct716046710
9272831647
10121130440
1162414102
1234696774
131c131622
1412131a64
15a97a77a
hex7384dc8

121130440 has 64 divisors (see below), whose sum is σ = 294107760. Its totient is φ = 44728320.

The previous prime is 121130417. The next prime is 121130447. The reversal of 121130440 is 44031121.

It can be written as a sum of positive squares in 8 ways, for example, as 96943716 + 24186724 = 9846^2 + 4918^2 .

It is not an unprimeable number, because it can be changed into a prime (121130447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34360 + ... + 37720.

Almost surely, 2121130440 is an apocalyptic number.

121130440 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 121130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147053880).

121130440 is an abundant number, since it is smaller than the sum of its proper divisors (172977320).

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

121130440 is a wasteful number, since it uses less digits than its factorization.

121130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 121130440 is about 11005.9274938553. The cubic root of 121130440 is about 494.7864126309.

Adding to 121130440 its reverse (44031121), we get a palindrome (165161561).

The spelling of 121130440 in words is "one hundred twenty-one million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 901 1060 1802 2120 3361 3604 4505 6722 7208 9010 13444 16805 18020 26888 33610 36040 57137 67220 114274 134440 178133 228548 285685 356266 457096 571370 712532 890665 1142740 1425064 1781330 2285480 3028261 3562660 6056522 7125320 12113044 15141305 24226088 30282610 60565220 121130440