Search a number
-
+
12235553144001 = 3311145912823463
BaseRepresentation
bin1011001000001100111111…
…0011000111110011000001
31121022201002201212122011000
42302003033303013303001
53100431403101102001
642004534023242213
72401663261500405
oct262031763076301
947281081778130
1012235553144001
113998083851340
1214573b9ba9369
136a9a66703c75
143042bd837105
1516341c789a86
hexb20cfcc7cc1

12235553144001 has 32 divisors (see below), whose sum is σ = 19775993610240. Its totient is φ = 7414975904400.

The previous prime is 12235553143871. The next prime is 12235553144011. The reversal of 12235553144001 is 10044135553221.

12235553144001 is a `hidden beast` number, since 1 + 2 + 235 + 5 + 5 + 3 + 14 + 400 + 1 = 666.

12235553144001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12235553144001 - 214 = 12235553127617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12235553144011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2921796 + ... + 5745258.

It is an arithmetic number, because the mean of its divisors is an integer number (617999800320).

Almost surely, 212235553144001 is an apocalyptic number.

12235553144001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12235553144001 is a deficient number, since it is larger than the sum of its proper divisors (7540440466239).

12235553144001 is a wasteful number, since it uses less digits than its factorization.

12235553144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838074 (or 2838068 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 12235553144001 its reverse (10044135553221), we get a palindrome (22279688697222).

The spelling of 12235553144001 in words is "twelve trillion, two hundred thirty-five billion, five hundred fifty-three million, one hundred forty-four thousand, one".

Divisors: 1 3 9 11 27 33 99 297 14591 43773 131319 160501 393957 481503 1444509 2823463 4333527 8470389 25411167 31058093 76233501 93174279 279522837 838568511 41197148633 123591445899 370774337697 453168634963 1112323013091 1359505904889 4078517714667 12235553144001