Search a number
-
+
12220421420 = 2253764125763
BaseRepresentation
bin10110110000110010…
…01101010100101100
31011112122212201200202
423120121031110230
5200011411441140
65340342013032
7611555603534
oct133031152454
934478781622
1012220421420
115201122539
122450717178
1311c9a1bcbc
1483cdd84c4
154b7cb0915
hex2d864d52c

12220421420 has 48 divisors (see below), whose sum is σ = 26398618848. Its totient is φ = 4748451840.

The previous prime is 12220421401. The next prime is 12220421443. The reversal of 12220421420 is 2412402221.

It is a super-3 number, since 3×122204214203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12220421392 and 12220421401.

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, 461459 + ... + 487221.

It is an arithmetic number, because the mean of its divisors is an integer number (549971226).

Almost surely, 212220421420 is an apocalyptic number.

12220421420 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 12220421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199309424).

12220421420 is an abundant number, since it is smaller than the sum of its proper divisors (14178197428).

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

12220421420 is a wasteful number, since it uses less digits than its factorization.

12220421420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26450 (or 26448 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12220421420 its reverse (2412402221), we get a palindrome (14632823641).

The spelling of 12220421420 in words is "twelve billion, two hundred twenty million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 641 740 1282 2564 3205 6410 12820 23717 25763 47434 51526 94868 103052 118585 128815 237170 257630 474340 515260 953231 1906462 3812924 4766155 9532310 16514083 19064620 33028166 66056332 82570415 165140830 330281660 611021071 1222042142 2444084284 3055105355 6110210710 12220421420