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121120221001221 = 321371112771129293
BaseRepresentation
bin11011100010100001111111…
…101111110111011000000101
3120212211222110110020002121100
4123202201333233313120011
5111333413203034014341
61105333510020410313
734340434662452061
oct3342417757673005
9525758413202540
10121120221001221
1135657885180762
1211701ab0b46999
13527778460ac10
1421ca36dd0aaa1
15e009354793b6
hex6e287fbf7605

121120221001221 has 48 divisors (see below), whose sum is σ = 191066055852672. Its totient is φ = 73484504553600.

The previous prime is 121120221001181. The next prime is 121120221001229. The reversal of 121120221001221 is 122100122021121.

121120221001221 is a `hidden beast` number, since 1 + 211 + 20 + 2 + 210 + 0 + 1 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-121120221001221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121120221001194 and 121120221001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120221001229) 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, 936724051 + ... + 936853343.

It is an arithmetic number, because the mean of its divisors is an integer number (3980542830264).

Almost surely, 2121120221001221 is an apocalyptic number.

It is an amenable number.

121120221001221 is a deficient number, since it is larger than the sum of its proper divisors (69945834851451).

121120221001221 is a wasteful number, since it uses less digits than its factorization.

121120221001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242154 (or 242151 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121120221001221 its reverse (122100122021121), we get a palindrome (243220343022342).

The spelling of 121120221001221 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 71 117 213 639 923 2769 8307 112771 129293 338313 387879 1014939 1163637 1466023 1680809 4398069 5042427 8006741 9179803 13194207 15127281 24020223 27539409 72060669 82618227 104087633 119337439 312262899 358012317 936788697 1074036951 14580500903 43741502709 131224508127 189546511739 568639535217 1035215564113 1705918605651 3105646692339 9316940077017 13457802333469 40373407000407 121120221001221