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12212020 = 2253731637
BaseRepresentation
bin101110100101…
…011100110100
3211222102202001
4232211130310
511111241040
61113425044
7205541362
oct56453464
924872661
1012212020
116991087
12410b184
1326b7662
14189c632
15111359a
hexba5734

12212020 has 24 divisors (see below), whose sum is σ = 25729704. Its totient is φ = 4868736.

The previous prime is 12211981. The next prime is 12212021. The reversal of 12212020 is 2021221.

It can be written as a sum of positive squares in 4 ways, for example, as 17956 + 12194064 = 134^2 + 3492^2 .

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

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 12211988 and 12212006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6642 + ... + 8278.

It is an arithmetic number, because the mean of its divisors is an integer number (1072071).

Almost surely, 212212020 is an apocalyptic number.

12212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212020 is an abundant number, since it is smaller than the sum of its proper divisors (13517684).

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

12212020 is a wasteful number, since it uses less digits than its factorization.

12212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2017 counting only the distinct ones).

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

The square root of 12212020 is about 3494.5700737001. The cubic root of 12212020 is about 230.2833307285.

Adding to 12212020 its reverse (2021221), we get a palindrome (14233241).

The spelling of 12212020 in words is "twelve million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 373 746 1492 1637 1865 3274 3730 6548 7460 8185 16370 32740 610601 1221202 2442404 3053005 6106010 12212020