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121113213221 = 7411131732039
BaseRepresentation
bin111000011001011101…
…0001111100100100101
3102120121120212200221202
41300302322033210211
53441014440310341
6131345540252245
711515204220000
oct1606272174445
9376546780852
10121113213221
1147400284750
121b5806a1085
13b561a13310
145c0d124537
15323ca9b79b
hex1c32e8f925

121113213221 has 80 divisors (see below), whose sum is σ = 167032817280. Its totient is φ = 86568370560.

The previous prime is 121113213191. The next prime is 121113213229. The reversal of 121113213221 is 122312311121.

It is not a de Polignac number, because 121113213221 - 26 = 121113213157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121113213193 and 121113213202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121113213229) 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 79 ways as a sum of consecutive naturals, for example, 59397320 + ... + 59399358.

It is an arithmetic number, because the mean of its divisors is an integer number (2087910216).

Almost surely, 2121113213221 is an apocalyptic number.

121113213221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121113213221 is a deficient number, since it is larger than the sum of its proper divisors (45919604059).

121113213221 is a wasteful number, since it uses less digits than its factorization.

121113213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2243 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 121113213221 its reverse (122312311121), we get a palindrome (243425524342).

The spelling of 121113213221 in words is "one hundred twenty-one billion, one hundred thirteen million, two hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 173 343 539 637 1001 1211 1903 2039 2249 2401 3773 4459 7007 8477 13321 14273 15743 22429 24739 26411 26507 31213 49049 59339 93247 99911 110201 157003 173173 185549 291577 343343 352747 415373 652729 699377 771407 1099021 1212211 1298843 2041039 2469229 3880217 4569103 4585711 4895639 5399849 7693147 8485477 9091901 14287273 17284603 27161519 32099977 50442821 53852029 59398339 63643307 100010911 120992221 190130633 224699839 353099747 700076377 846945547 1330914431 1572898873 2471698229 9316401017 11010292111 17301887603 121113213221