Search a number
-
+
12032212203121 = 115367308036461
BaseRepresentation
bin1010111100010111011110…
…1110111111011001110001
31120121021020120000120100111
42233011313232333121301
53034113432310444441
641331304425221321
72351204302144105
oct257056756773161
946537216016314
1012032212203121
113919918122880
121423b0b631841
1369382c1998c6
142d850db5d905
1515cebad77081
hexaf177bbf671

12032212203121 has 16 divisors (see below), whose sum is σ = 13573318661568. Its totient is φ = 10571811307200.

The previous prime is 12032212203113. The next prime is 12032212203169. The reversal of 12032212203121 is 12130221223021.

It is not a de Polignac number, because 12032212203121 - 23 = 12032212203113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12032212203092 and 12032212203101.

It is not an unprimeable number, because it can be changed into a prime (12032212203821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153979170 + ... + 154057291.

It is an arithmetic number, because the mean of its divisors is an integer number (848332416348).

Almost surely, 212032212203121 is an apocalyptic number.

12032212203121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12032212203121 is a deficient number, since it is larger than the sum of its proper divisors (1541106458447).

12032212203121 is a wasteful number, since it uses less digits than its factorization.

12032212203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308036592.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12032212203121 its reverse (12130221223021), we get a palindrome (24162433426142).

The spelling of 12032212203121 in words is "twelve trillion, thirty-two billion, two hundred twelve million, two hundred three thousand, one hundred twenty-one".

Divisors: 1 11 53 67 583 737 3551 39061 308036461 3388401071 16325932433 20638442887 179585256763 227022871757 1093837473011 12032212203121