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212021122111221 = 32946749910457851
BaseRepresentation
bin110000001101010100000011…
…101010110001011011110101
31000210201000120112200120211110
4300031110003222301123311
5210242223224230024341
62030533054151425233
762442010025321313
oct6015240352613365
91023630515616743
10212021122111221
1161613720063a15
121b943144985219
13913c676979417
143a4dc3c9410b3
15197a2514cd216
hexc0d503ab16f5

212021122111221 has 32 divisors (see below), whose sum is σ = 293656484160000. Its totient is φ = 135908210692800.

The previous prime is 212021122111217. The next prime is 212021122111229. The reversal of 212021122111221 is 122111221120212.

It is not a de Polignac number, because 212021122111221 - 22 = 212021122111217 is a prime.

It is a super-2 number, since 2×2120211221112212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021122111229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15044946 + ... + 25502796.

It is an arithmetic number, because the mean of its divisors is an integer number (9176765130000).

Almost surely, 2212021122111221 is an apocalyptic number.

It is an amenable number.

212021122111221 is a deficient number, since it is larger than the sum of its proper divisors (81635362048779).

212021122111221 is a wasteful number, since it uses less digits than its factorization.

212021122111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10458849.

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

Adding to 212021122111221 its reverse (122111221120212), we get a palindrome (334132343231433).

The spelling of 212021122111221 in words is "two hundred twelve trillion, twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 29 87 467 499 1401 1497 13543 14471 40629 43413 233033 699099 6757957 10457851 20273871 31373553 303277679 909833037 4883816417 5218467649 14651449251 15655402947 141630676093 151335561821 424892028279 454006685463 2437024392083 7311073176249 70673707370407 212021122111221