Search a number
-
+
12122031320 = 23572329471381
BaseRepresentation
bin10110100101000011…
…11000010011011000
31011021210201222211222
423102201320103120
5144311220000240
65322505111212
7606252365120
oct132241702330
934253658758
1012122031320
115160630603
122423788508
1311b25201c9
1482dd05c80
154ae327eb5
hex2d28784d8

12122031320 has 256 divisors, whose sum is σ = 34388582400. Its totient is φ = 3753953280.

The previous prime is 12122031319. The next prime is 12122031371. The reversal of 12122031320 is 2313022121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8777030 + ... + 8778410.

It is an arithmetic number, because the mean of its divisors is an integer number (134330400).

Almost surely, 212122031320 is an apocalyptic number.

12122031320 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 12122031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17194291200).

12122031320 is an abundant number, since it is smaller than the sum of its proper divisors (22266551080).

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

12122031320 is a wasteful number, since it uses less digits than its factorization.

12122031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12122031320 its reverse (2313022121), we get a palindrome (14435053441).

The spelling of 12122031320 in words is "twelve billion, one hundred twenty-two million, thirty-one thousand, three hundred twenty".