Search a number
-
+
12212011021221 = 3211401307615079
BaseRepresentation
bin1011000110110101010010…
…0101000011001110100101
31121020110100001012212220200
42301231110211003032211
53100040144310134341
641550042002021113
72400201005655054
oct261552445031645
947213301185820
1012212011021221
1139890a2945020
121452929947799
136a7784231bbb
143030c8d4a39b
151629e0a90db6
hexb1b549433a5

12212011021221 has 24 divisors (see below), whose sum is σ = 19291156896960. Its totient is φ = 7382761872000.

The previous prime is 12212011021213. The next prime is 12212011021253.

12212011021221 is a `hidden beast` number, since 1 + 221 + 201 + 1 + 0 + 21 + 221 = 666.

12212011021221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12212011021221 - 23 = 12212011021213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12212011021194 and 12212011021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212011023221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153767841 + ... + 153847238.

It is an arithmetic number, because the mean of its divisors is an integer number (803798204040).

Almost surely, 212212011021221 is an apocalyptic number.

12212011021221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212011021221 is a deficient number, since it is larger than the sum of its proper divisors (7079145875739).

12212011021221 is a wasteful number, since it uses less digits than its factorization.

12212011021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307615497 (or 307615494 counting only the distinct ones).

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

It can be divided in two parts, 1221201 and 1021221, that added together give a palindrome (2242422).

The spelling of 12212011021221 in words is "twelve trillion, two hundred twelve billion, eleven million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 401 1203 3609 4411 13233 39699 307615079 922845237 2768535711 3383765869 10151297607 30453892821 123353646679 370060940037 1110182820111 1356890113469 4070670340407 12212011021221