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12121013333131 = 311049372736349
BaseRepresentation
bin1011000001100010010010…
…1100011010110010001011
31120220202110021000101000121
42300120210230122302023
53042042313403130011
641440152221444111
72360500003246633
oct260304454326213
946822407011017
1012121013333131
11395354703a11a
121439172a10637
1369c011801b51
142dc9357436c3
15160466d3ce71
hexb0624b1ac8b

12121013333131 has 8 divisors (see below), whose sum is σ = 12523941360000. Its totient is φ = 11718830781120.

The previous prime is 12121013333063. The next prime is 12121013333153. The reversal of 12121013333131 is 13133331012121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12121013333131 - 213 = 12121013324939 is a prime.

It is a super-2 number, since 2×121210133331312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12121013333096 and 12121013333105.

It is not an unprimeable number, because it can be changed into a prime (12121013333161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186335656 + ... + 186400693.

It is an arithmetic number, because the mean of its divisors is an integer number (1565492670000).

Almost surely, 212121013333131 is an apocalyptic number.

12121013333131 is a deficient number, since it is larger than the sum of its proper divisors (402928026869).

12121013333131 is a wasteful number, since it uses less digits than its factorization.

12121013333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372737429.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 12121013333131 its reverse (13133331012121), we get a palindrome (25254344345252).

The spelling of 12121013333131 in words is "twelve trillion, one hundred twenty-one billion, thirteen million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 31 1049 32519 372736349 11554826819 391000430101 12121013333131