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1211001222020 = 225149406376249
BaseRepresentation
bin10001100111110101010…
…011000011001110000100
311021202210202110002111212
4101213311103003032010
5124320112303101040
62324154250550552
7153330511355432
oct21476523031604
94252722402455
101211001222020
1142764568a017
12176849a38458
138a27384c635
1442881635d52
152177a91bd65
hex119f54c3384

1211001222020 has 24 divisors (see below), whose sum is σ = 2560170375000. Its totient is φ = 481149477632.

The previous prime is 1211001222001. The next prime is 1211001222023. The reversal of 1211001222020 is 202221001121.

It can be written as a sum of positive squares in 4 ways, for example, as 25546268224 + 1185454953796 = 159832^2 + 1088786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1211001221986 and 1211001222004.

It is not an unprimeable number, because it can be changed into a prime (1211001222023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203185145 + ... + 203191104.

It is an arithmetic number, because the mean of its divisors is an integer number (106673765625).

Almost surely, 21211001222020 is an apocalyptic number.

1211001222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211001222020 is an abundant number, since it is smaller than the sum of its proper divisors (1349169152980).

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

1211001222020 is a wasteful number, since it uses less digits than its factorization.

1211001222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406376407 (or 406376405 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1211001222020 its reverse (202221001121), we get a palindrome (1413222223141).

The spelling of 1211001222020 in words is "one trillion, two hundred eleven billion, one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 406376249 812752498 1625504996 2031881245 4063762490 8127524980 60550061101 121100122202 242200244404 302750305505 605500611010 1211001222020