Search a number
-
+
12220122022120 = 235535764208501
BaseRepresentation
bin1011000111010011100000…
…0010000100000011101000
31121021020021022111102102101
42301310320002010003220
53100203302214201440
641553502504543144
72400606005226025
oct261647002040350
947236238442371
1012220122022120
113991585338051
121454412181ab4
136a847776ab0c
1430365826a54c
15162d17bb569a
hexb1d380840e8

12220122022120 has 32 divisors (see below), whose sum is σ = 28014053319720. Its totient is φ = 4795821472000.

The previous prime is 12220122022093. The next prime is 12220122022133. The reversal of 12220122022120 is 2122022102221.

It can be written as a sum of positive squares in 4 ways, for example, as 8781775120836 + 3438346901284 = 2963406^2 + 1854278^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2882102131 + ... + 2882106370.

Almost surely, 212220122022120 is an apocalyptic number.

12220122022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220122022120 is an abundant number, since it is smaller than the sum of its proper divisors (15793931297600).

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

12220122022120 is a wasteful number, since it uses less digits than its factorization.

12220122022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764208565 (or 5764208561 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12220122022120 its reverse (2122022102221), we get a palindrome (14342144124341).

The spelling of 12220122022120 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 5764208501 11528417002 23056834004 28821042505 46113668008 57642085010 115284170020 230568340040 305503050553 611006101106 1222012202212 1527515252765 2444024404424 3055030505530 6110061011060 12220122022120