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21221211211122 = 23131373795239813
BaseRepresentation
bin1001101001100111100101…
…10000011000010101110010
32210010201122200210210012010
410310303302300120111302
510240142020032223442
6113044520112343350
74320116253032406
oct464636260302562
983121580723163
1021221211211122
116841957546a7a
122468990844b56
13bac1c8194730
1453517d879106
1526c02bcdeb9c
hex134cf2c18572

21221211211122 has 64 divisors (see below), whose sum is σ = 46162342154880. Its totient is φ = 6464838127104.

The previous prime is 21221211211087. The next prime is 21221211211153. The reversal of 21221211211122 is 22111211212212.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430088 + ... + 6669900.

It is an arithmetic number, because the mean of its divisors is an integer number (721286596170).

Almost surely, 221221211211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221211211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23081171077440).

21221211211122 is an abundant number, since it is smaller than the sum of its proper divisors (24941130943758).

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

21221211211122 is a wasteful number, since it uses less digits than its factorization.

21221211211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240347.

The product of its digits is 128, while the sum is 21.

Adding to 21221211211122 its reverse (22111211212212), we get a palindrome (43332422423334).

The spelling of 21221211211122 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 137 274 379 411 758 822 1137 1781 2274 3562 4927 5343 9854 10686 14781 29562 51923 103846 155769 311538 674999 1349998 2024997 4049994 5239813 10479626 15719439 31438878 68117569 136235138 204352707 408705414 717854381 1435708762 1985889127 2153563143 3971778254 4307126286 5957667381 9332106953 11915334762 18664213906 25816558651 27996320859 51633117302 55992641718 77449675953 154899351906 272066810399 544133620798 816200431197 1632400862394 3536868535187 7073737070374 10610605605561 21221211211122