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12122020 = 22517101353
BaseRepresentation
bin101110001111…
…011110100100
3211210212021201
4232033132210
511100401040
61111452244
7205015111
oct56173644
924725251
1012122020
11692a4a9
124087084
1326856c1
141877908
1510e6a9a
hexb8f7a4

12122020 has 48 divisors (see below), whose sum is σ = 27297648. Its totient is φ = 4505600.

The previous prime is 12122009. The next prime is 12122021. The reversal of 12122020 is 2022121.

12122020 = T491 + T492 + ... + T575.

It can be written as a sum of positive squares in 8 ways, for example, as 1218816 + 10903204 = 1104^2 + 3302^2 .

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 = 12121988 and 12122006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34164 + ... + 34516.

It is an arithmetic number, because the mean of its divisors is an integer number (568701).

Almost surely, 212122020 is an apocalyptic number.

12122020 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 12122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13648824).

12122020 is an abundant number, since it is smaller than the sum of its proper divisors (15175628).

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

12122020 is a wasteful number, since it uses less digits than its factorization.

12122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 478 counting only the distinct ones).

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

The square root of 12122020 is about 3481.6691399385. The cubic root of 12122020 is about 229.7162221629.

Adding to 12122020 its reverse (2022121), we get a palindrome (14144141).

The spelling of 12122020 in words is "twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 353 404 505 706 1010 1412 1717 1765 2020 3434 3530 6001 6868 7060 8585 12002 17170 24004 30005 34340 35653 60010 71306 120020 142612 178265 356530 606101 713060 1212202 2424404 3030505 6061010 12122020