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12442112011401 = 3349487208911681
BaseRepresentation
bin1011010100001110011110…
…1010101010110010001001
31122001110021011211022021020
42311003213222222302021
53112322421133331101
642243454412503053
72422625064055662
oct265034752526211
948043234738236
1012442112011401
113a67740957706
12148b44617aa89
136c3394815567
143102b6a44369
151689ab93c136
hexb50e7aaac89

12442112011401 has 32 divisors (see below), whose sum is σ = 16680587616000. Its totient is φ = 8249333207040.

The previous prime is 12442112011367. The next prime is 12442112011403. The reversal of 12442112011401 is 10411021124421.

12442112011401 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 12442112011401 - 215 = 12442111978633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12442112011403) 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, 1065152281 + ... + 1065163961.

It is an arithmetic number, because the mean of its divisors is an integer number (521268363000).

Almost surely, 212442112011401 is an apocalyptic number.

It is an amenable number.

12442112011401 is a deficient number, since it is larger than the sum of its proper divisors (4238475604599).

12442112011401 is a wasteful number, since it uses less digits than its factorization.

12442112011401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14609.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 12442112011401 its reverse (10411021124421), we get a palindrome (22853133135822).

The spelling of 12442112011401 in words is "twelve trillion, four hundred forty-two billion, one hundred twelve million, eleven thousand, four hundred one".

Divisors: 1 3 349 487 1047 1461 2089 6267 11681 35043 169963 509889 729061 1017343 2187183 3052029 4076669 5688647 12230007 17065941 24401609 73204827 355052707 1065158121 1985337803 5956013409 8516161541 11883583583 25548484623 35650750749 4147370670467 12442112011401