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12338012140201 = 112373597676507
BaseRepresentation
bin1011001110001010101011…
…0101001011001010101001
31121200111120021112221001001
42303202222311023022221
53104121222101441301
642124000551155001
72412251304546136
oct263425265131251
947614507487031
1012338012140201
113a27581224700
121473233375a61
136b66147b7437
1430923d2b358d
15165e17800c01
hexb38aad4b2a9

12338012140201 has 24 divisors (see below), whose sum is σ = 13966945715520. Its totient is φ = 10882829026080.

The previous prime is 12338012140093. The next prime is 12338012140213. The reversal of 12338012140201 is 10204121083321.

12338012140201 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 12338012140201 - 215 = 12338012107433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12338012140201.

It is not an unprimeable number, because it can be changed into a prime (12338012140241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2231011 + ... + 5445496.

It is an arithmetic number, because the mean of its divisors is an integer number (581956071480).

Almost surely, 212338012140201 is an apocalyptic number.

12338012140201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12338012140201 is a deficient number, since it is larger than the sum of its proper divisors (1628933575319).

12338012140201 is a wasteful number, since it uses less digits than its factorization.

12338012140201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676925 (or 7676914 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 12338012140201 in words is "twelve trillion, three hundred thirty-eight billion, twelve million, one hundred forty thousand, two hundred one".

Divisors: 1 11 37 121 359 407 3949 4477 13283 43439 146113 1607243 7676507 84441577 284030759 928857347 2755866013 3124338349 30314526143 34367721839 101967042481 333459787573 1121637467291 12338012140201