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11220211121121 = 3241712331838063
BaseRepresentation
bin1010001101000110100010…
…1100101011101111100001
31110201122022210201200210100
42203101220230223233201
52432312443021333441
635510254400053013
72235430201630602
oct243215054535741
943648283650710
1011220211121121
1136365127385a2
121312676004169
136350a4a9a0a2
142ab0bd9b7da9
15146ce419dcb6
hexa3468b2bbe1

11220211121121 has 48 divisors (see below), whose sum is σ = 16908365440512. Its totient is φ = 7164030451200.

The previous prime is 11220211121117. The next prime is 11220211121167. The reversal of 11220211121121 is 12112111202211.

It is a happy number.

11220211121121 is a `hidden beast` number, since 1 + 1 + 220 + 211 + 1 + 211 + 21 = 666.

11220211121121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11220211121121 - 22 = 11220211121117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11220211121094 and 11220211121103.

It is not an unprimeable number, because it can be changed into a prime (11220211121101) 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, 5185336 + ... + 7023398.

It is an arithmetic number, because the mean of its divisors is an integer number (352257613344).

Almost surely, 211220211121121 is an apocalyptic number.

It is an amenable number.

11220211121121 is a deficient number, since it is larger than the sum of its proper divisors (5688154319391).

11220211121121 is a wasteful number, since it uses less digits than its factorization.

11220211121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838414 (or 1838411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11220211121121 its reverse (12112111202211), we get a palindrome (23332322323332).

The spelling of 11220211121121 in words is "eleven trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 41 71 123 213 233 369 639 699 2097 2911 8733 9553 16543 26199 28659 49629 85977 148887 678263 1838063 2034789 5514189 6104367 16542567 75360583 130502473 226081749 391507419 428268679 678245247 1174522257 1284806037 3854418111 5350601393 16051804179 17559015839 30407076209 48155412537 52677047517 91221228627 158031142551 273663685881 1246690124569 3740070373707 11220211121121