Search a number
-
+
12412100121421 = 7111312399700421
BaseRepresentation
bin1011010010011110101011…
…0100011001001101001101
31121221120210121011022220111
42310213222310121031031
53111324440112341141
642222012353520021
72420513261156320
oct264475264311515
947846717138814
1012412100121421
113a55a3aa32550
12148566b273011
136c05c0b49590
1430ca6abc27b7
15167d01c65381
hexb49ead1934d

12412100121421 has 16 divisors (see below), whose sum is σ = 16665197367168. Its totient is φ = 8927784302400.

The previous prime is 12412100121397. The next prime is 12412100121461.

12412100121421 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12412100121421 - 217 = 12412099990349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12412100121392 and 12412100121401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412100121461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6199849210 + ... + 6199851211.

It is an arithmetic number, because the mean of its divisors is an integer number (1041574835448).

Almost surely, 212412100121421 is an apocalyptic number.

12412100121421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12412100121421 is a deficient number, since it is larger than the sum of its proper divisors (4253097245747).

12412100121421 is a wasteful number, since it uses less digits than its factorization.

12412100121421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12399700452.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 12412100 and 121421, that added together give a palindrome (12533521).

The spelling of 12412100121421 in words is "twelve trillion, four hundred twelve billion, one hundred million, one hundred twenty-one thousand, four hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 12399700421 86797902947 136396704631 161196105473 954776932417 1128372738311 1773157160203 12412100121421