Search a number
-
+
12121120132331 = 72479035163973
BaseRepresentation
bin1011000001100010101100…
…0011110100110011101011
31120220202201200222022222112
42300120223003310303223
53042043023223213311
641440210554512535
72360502441110600
oct260305303646353
946822650868875
1012121120132331
1139535a1354a21
1214391a273574b
1369c02a986342
142dc9459c46a7
151604713d728b
hexb062b0f4ceb

12121120132331 has 12 divisors (see below), whose sum is σ = 14100375598272. Its totient is φ = 10389312643248.

The previous prime is 12121120132309. The next prime is 12121120132339. The reversal of 12121120132331 is 13323102112121.

It is a happy number.

12121120132331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12121120132331 is a prime.

It is a super-2 number, since 2×121211201323312 (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 = 12121120132297 and 12121120132306.

It is not an unprimeable number, because it can be changed into a prime (12121120132339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234740 + ... + 4929233.

It is an arithmetic number, because the mean of its divisors is an integer number (1175031299856).

Almost surely, 212121120132331 is an apocalyptic number.

12121120132331 is a deficient number, since it is larger than the sum of its proper divisors (1979255465941).

12121120132331 is an equidigital number, since it uses as much as digits as its factorization.

12121120132331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211890 (or 5211883 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 12121120132331 its reverse (13323102112121), we get a palindrome (25444222244452).

The spelling of 12121120132331 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 49 47903 335321 2347247 5163973 36147811 253034677 247369798619 1731588590333 12121120132331