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121412424 = 23372772609
BaseRepresentation
bin1110011110010…
…01101101001000
322110110101112110
413033021231020
5222040144144
620014142320
73002663040
oct717115510
9273411473
10121412424
1162596a51
12347b19a0
131c1cca93
14121a6720
15a9d40b9
hex73c9b48

121412424 has 64 divisors (see below), whose sum is σ = 348278400. Its totient is φ = 34550784.

The previous prime is 121412411. The next prime is 121412437. The reversal of 121412424 is 424214121.

It is an interprime number because it is at equal distance from previous prime (121412411) and next prime (121412437).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121412424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45232 + ... + 47840.

It is an arithmetic number, because the mean of its divisors is an integer number (5441850).

Almost surely, 2121412424 is an apocalyptic number.

121412424 is a gapful number since it is divisible by the number (14) 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 121412424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174139200).

121412424 is an abundant number, since it is smaller than the sum of its proper divisors (226865976).

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

121412424 is a wasteful number, since it uses less digits than its factorization.

121412424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2898 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 121412424 is about 11018.7305983947. The cubic root of 121412424 is about 495.1700589040.

Adding to 121412424 its reverse (424214121), we get a palindrome (545626545).

The spelling of 121412424 in words is "one hundred twenty-one million, four hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 277 554 831 1108 1662 1939 2216 2609 3324 3878 5218 5817 6648 7756 7827 10436 11634 15512 15654 18263 20872 23268 31308 36526 46536 54789 62616 73052 109578 146104 219156 438312 722693 1445386 2168079 2890772 4336158 5058851 5781544 8672316 10117702 15176553 17344632 20235404 30353106 40470808 60706212 121412424