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20121200220020 = 2252573914630393
BaseRepresentation
bin1001001001100110101001…
…11111011101011101110100
32122020120100001001121111112
410210303110333131131310
510114131204224020040
6110443315103254152
74144465045630004
oct444632477353564
978216301047445
1020121200220020
116458397a69229
12230b7592aa358
13b2c56203b763
144d7c2ab50004
1524d5ea3bc365
hex124cd4fdd774

20121200220020 has 24 divisors (see below), whose sum is σ = 42418934949384. Its totient is φ = 8017163042816.

The previous prime is 20121200220019. The next prime is 20121200220047. The reversal of 20121200220020 is 2002200212102.

It can be written as a sum of positive squares in 4 ways, for example, as 11120504206564 + 9000696013456 = 3334742^2 + 3000116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20121200219977 and 20121200220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957310057 + ... + 1957320336.

It is an arithmetic number, because the mean of its divisors is an integer number (1767455622891).

Almost surely, 220121200220020 is an apocalyptic number.

20121200220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121200220020 is an abundant number, since it is smaller than the sum of its proper divisors (22297734729364).

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

20121200220020 is a wasteful number, since it uses less digits than its factorization.

20121200220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914630659 (or 3914630657 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20121200220020 its reverse (2002200212102), we get a palindrome (22123400432122).

The spelling of 20121200220020 in words is "twenty trillion, one hundred twenty-one billion, two hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 3914630393 7829260786 15658521572 19573151965 39146303930 78292607860 1006060011001 2012120022002 4024240044004 5030300055005 10060600110010 20121200220020