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12032220101213 = 137091601815389
BaseRepresentation
bin1010111100010111100000…
…1101000111101001011101
31120121021021002212211111102
42233011320031013221131
53034113441321214323
641331305310402445
72351204426240444
oct257057015075135
946537232784442
1012032220101213
113919921627824
121423b12200425
13693830a03830
142d8510c17d5b
1515cebb8d7328
hexaf178347a5d

12032220101213 has 16 divisors (see below), whose sum is σ = 12984172513200. Its totient is φ = 11084058316800.

The previous prime is 12032220101171. The next prime is 12032220101219. The reversal of 12032220101213 is 31210102223021.

It can be written as a sum of positive squares in 8 ways, for example, as 2005390189924 + 10026829911289 = 1416118^2 + 3166517^2 .

It is a cyclic number.

It is not a de Polignac number, because 12032220101213 - 224 = 12032203323997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032220101219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14348723 + ... + 15164111.

It is an arithmetic number, because the mean of its divisors is an integer number (811510782075).

Almost surely, 212032220101213 is an apocalyptic number.

12032220101213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12032220101213 is a deficient number, since it is larger than the sum of its proper divisors (951952411987).

12032220101213 is a wasteful number, since it uses less digits than its factorization.

12032220101213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817712.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12032220101213 its reverse (31210102223021), we get a palindrome (43242322324234).

The spelling of 12032220101213 in words is "twelve trillion, thirty-two billion, two hundred twenty million, one hundred one thousand, two hundred thirteen".

Divisors: 1 13 709 1601 9217 20813 815389 1135109 10600057 14756417 578110801 1305437789 7515440413 16970691257 925555392401 12032220101213