Search a number
-
+
12063122136021 = 311409153893429
BaseRepresentation
bin1010111110001010101000…
…0111000001101111010101
31120201020000201111212000010
42233202222013001233111
53040120233231323041
641353415524310433
72353350261221415
oct257425207015725
946636021455003
1012063122136021
113930a39a62970
121429ab7242419
13696716c25528
142d9c02d8c645
1515dbc97e0a16
hexaf8aa1c1bd5

12063122136021 has 16 divisors (see below), whose sum is σ = 17546421994560. Its totient is φ = 7310957061120.

The previous prime is 12063122136001. The next prime is 12063122136053.

12063122136021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12063122136021 - 26 = 12063122135957 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12063122136021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12063122136001) 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, 13055335 + ... + 13948763.

It is an arithmetic number, because the mean of its divisors is an integer number (1096651374660).

Almost surely, 212063122136021 is an apocalyptic number.

12063122136021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12063122136021 is a deficient number, since it is larger than the sum of its proper divisors (5483299858539).

12063122136021 is a wasteful number, since it uses less digits than its factorization.

12063122136021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302596.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 12063122136021 in words is "twelve trillion, sixty-three billion, one hundred twenty-two million, one hundred thirty-six thousand, twenty-one".

Divisors: 1 3 11 33 409153 893429 1227459 2680287 4500683 9827719 13502049 29483157 365549155637 1096647466911 4021040712007 12063122136021