Search a number
-
+
12211212123011 = 1171241461140731
BaseRepresentation
bin1011000110110010010011…
…1101011111101110000011
31121020101021100221122121002
42301230210331133232003
53100032030300414021
641545430422522215
72400142135310546
oct261544475375603
947211240848532
1012211212123011
113988822996a70
12145274629636b
136a7687876675
14303050bca85d
1516299588550b
hexb1b24f5fb83

12211212123011 has 32 divisors (see below), whose sum is σ = 13594522056192. Its totient is φ = 10875614400000.

The previous prime is 12211212123001. The next prime is 12211212123013. The reversal of 12211212123011 is 11032121211221.

It is a cyclic number.

It is not a de Polignac number, because 12211212123011 - 222 = 12211207928707 is a prime.

It is a super-2 number, since 2×122112121230112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211212123013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86699516 + ... + 86840246.

It is an arithmetic number, because the mean of its divisors is an integer number (424828814256).

Almost surely, 212211212123011 is an apocalyptic number.

12211212123011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211212123011 is a deficient number, since it is larger than the sum of its proper divisors (1383309933181).

12211212123011 is a wasteful number, since it uses less digits than its factorization.

12211212123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141515.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 12211212123011 its reverse (11032121211221), we get a palindrome (23243333334232).

The spelling of 12211212123011 in words is "twelve trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty-three thousand, eleven".

Divisors: 1 11 71 241 461 781 2651 5071 17111 32731 111101 140731 188221 360041 1222111 1548041 7888171 9991901 33916171 64876991 86769881 109910911 373077881 713646901 2408048141 4606266361 15635354831 26488529551 50668929971 171988903141 1110110193001 12211212123011