Search a number
-
+
121223412 = 22337115809
BaseRepresentation
bin1110011100110…
…11100011110100
322110002210021000
413032123203310
5222013122122
620010123300
73001245012
oct716334364
9273083230
10121223412
1162477a42
1234720530
131c164a3b
14121578b2
15a9980ac
hex739b8f4

121223412 has 48 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 39836160.

The previous prime is 121223411. The next prime is 121223419. The reversal of 121223412 is 214322121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121223411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237 + ... + 15572.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2121223412 is an apocalyptic number.

121223412 is a gapful number since it is divisible by the number (12) 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 121223412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

121223412 is an abundant number, since it is smaller than the sum of its proper divisors (197506188).

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

121223412 is a wasteful number, since it uses less digits than its factorization.

121223412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15893 (or 15885 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 121223412 is about 11010.1504076920. The cubic root of 121223412 is about 494.9129690885.

Adding to 121223412 its reverse (214322121), we get a palindrome (335545533).

The spelling of 121223412 in words is "one hundred twenty-one million, two hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 7668 15809 31618 47427 63236 94854 142281 189708 284562 426843 569124 853686 1122439 1707372 2244878 3367317 4489756 6734634 10101951 13469268 20203902 30305853 40407804 60611706 121223412