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122213312221 = 72111319390371
BaseRepresentation
bin111000111010001111…
…0110010011011011101
3102200110020220112002011
41301310132302123131
54000243101442341
6132051035231221
711554363004500
oct1616436623335
9380406815064
10122213312221
1147915257380
121b828ba8511
13b6a88ca080
145cb528b137
1532a4451b81
hex1c747b26dd

122213312221 has 48 divisors (see below), whose sum is σ = 167888040768. Its totient is φ = 87449241600.

The previous prime is 122213312219. The next prime is 122213312231.

122213312221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122213312221 - 21 = 122213312219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122213312192 and 122213312201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122213312201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1307166 + ... + 1397536.

It is an arithmetic number, because the mean of its divisors is an integer number (3497667516).

Almost surely, 2122213312221 is an apocalyptic number.

122213312221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122213312221 is a deficient number, since it is larger than the sum of its proper divisors (45674728547).

122213312221 is a wasteful number, since it uses less digits than its factorization.

122213312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90602 (or 90595 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

It can be divided in two parts, 122213 and 312221, that added together give a palindrome (434434).

The spelling of 122213312221 in words is "one hundred twenty-two billion, two hundred thirteen million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 193 539 637 1001 1351 2123 2509 7007 9457 14861 17563 27599 90371 104027 122941 193193 632597 994081 1174823 1352351 4428179 6958567 8223761 12923053 17441603 48709969 57566327 90461371 122091221 191857633 226740839 633229597 854638547 1343003431 1587185873 2494149229 9401024017 11110301111 17459044603 122213312221