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20120122202020 = 2251280337857397
BaseRepresentation
bin1001001001100100101001…
…01111001001011110100100
32122020110112220120121210221
410210302110233021132210
510114122002240431040
6110443020113454124
74144426245626251
oct444622457113644
978213486517727
1020120122202020
1164579944a8365
12230b4b8271344
13b2c41c8b6399
144d7b678d4428
1524d58592974a
hex124c94bc97a4

20120122202020 has 24 divisors (see below), whose sum is σ = 42252592012344. Its totient is φ = 8047984997376.

The previous prime is 20120122202009. The next prime is 20120122202029. The reversal of 20120122202020 is 2020222102102.

It can be written as a sum of positive squares in 4 ways, for example, as 102676666624 + 20017445535396 = 320432^2 + 4474086^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20120122201985 and 20120122202003.

It is not an unprimeable number, because it can be changed into a prime (20120122202029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368039 + ... + 6489358.

It is an arithmetic number, because the mean of its divisors is an integer number (1760524667181).

Almost surely, 220120122202020 is an apocalyptic number.

20120122202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120122202020 is an abundant number, since it is smaller than the sum of its proper divisors (22132469810324).

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

20120122202020 is a wasteful number, since it uses less digits than its factorization.

20120122202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985439 (or 7985437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20120122202020 its reverse (2020222102102), we get a palindrome (22140344304122).

The spelling of 20120122202020 in words is "twenty trillion, one hundred twenty billion, one hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 128033 256066 512132 640165 1280330 2560660 7857397 15714794 31429588 39286985 78573970 157147940 1006006110101 2012012220202 4024024440404 5030030550505 10060061101010 20120122202020