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1211201222020 = 2252941465710937
BaseRepresentation
bin10001101000000001001…
…101111111010110000100
311021210022200210010221021
4101220001031333112010
5124321020003101040
62324230153400524
7153335460343006
oct21500115772604
94253280703837
101211201222020
11427738571a79
121768a4a09144
138a2a610692a
14428a0018376
152178d27624a
hex11a0137f584

1211201222020 has 96 divisors (see below), whose sum is σ = 2696231875680. Its totient is φ = 456225423360.

The previous prime is 1211201221999. The next prime is 1211201222027. The reversal of 1211201222020 is 202221021121.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 457419563584 + 753781658436 = 676328^2 + 868206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1211201221985 and 1211201222003.

It is not an unprimeable number, because it can be changed into a prime (1211201222027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110737992 + ... + 110748928.

It is an arithmetic number, because the mean of its divisors is an integer number (28085748705).

Almost surely, 21211201222020 is an apocalyptic number.

1211201222020 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 1211201222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348115937840).

1211201222020 is an abundant number, since it is smaller than the sum of its proper divisors (1485030653660).

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

1211201222020 is a wasteful number, since it uses less digits than its factorization.

1211201222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15673 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1211201222020 its reverse (202221021121), we get a palindrome (1413422243141).

The spelling of 1211201222020 in words is "one trillion, two hundred eleven billion, two hundred one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 4657 4756 5945 9314 10937 11890 18628 21874 23285 23780 43748 46570 54685 93140 109370 135053 190937 218740 270106 317173 381874 448417 540212 634346 675265 763748 896834 954685 1268692 1350530 1585865 1793668 1909370 2242085 2701060 3171730 3818740 4484170 5537173 6343460 8968340 11074346 13004093 22148692 26008186 27685865 50933609 52016372 55371730 65020465 101867218 110743460 130040930 203734436 254668045 260081860 509336090 1018672180 1477074661 2088277969 2954149322 4176555938 5908298644 7385373305 8353111876 10441389845 14770746610 20882779690 29541493220 41765559380 60560061101 121120122202 242240244404 302800305505 605600611010 1211201222020