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20121220 = 22571011423
BaseRepresentation
bin100110011000…
…0011010000100
31101212021010101
41030300122010
520122334340
61555133444
7333012310
oct114603204
941767111
1020121220
11103a3409
1268a4284
134226662
14295ab40
151b76c9a
hex1330684

20121220 has 48 divisors (see below), whose sum is σ = 48803328. Its totient is φ = 6825600.

The previous prime is 20121193. The next prime is 20121271. The reversal of 20121220 is 2212102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20121197 and 20121206.

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, 13429 + ... + 14851.

It is an arithmetic number, because the mean of its divisors is an integer number (1016736).

Almost surely, 220121220 is an apocalyptic number.

20121220 is a gapful number since it is divisible by the number (20) 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 20121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24401664).

20121220 is an abundant number, since it is smaller than the sum of its proper divisors (28682108).

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

20121220 is a wasteful number, since it uses less digits than its factorization.

20121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20121220 is about 4485.6682891181. The cubic root of 20121220 is about 271.9890602578.

Adding to 20121220 its reverse (2212102), we get a palindrome (22333322).

The spelling of 20121220 in words is "twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 1423 2020 2828 2846 3535 5692 7070 7115 9961 14140 14230 19922 28460 39844 49805 99610 143723 199220 287446 574892 718615 1006061 1437230 2012122 2874460 4024244 5030305 10060610 20121220