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12201000001021 = 1317129742566033
BaseRepresentation
bin1011000110001100010001…
…0001010101110111111101
31121012101220200001002210201
42301203010101111313331
53044400122000013041
641541021221403501
72366331103563256
oct261430421256775
947171820032721
1012201000001021
11398446246a627
121450776269591
136a671ac49530
1430276280bb2d
15162599076631
hexb18c4455dfd

12201000001021 has 16 divisors (see below), whose sum is σ = 13923179457264. Its totient is φ = 10591790874624.

The previous prime is 12201000000979. The next prime is 12201000001031. The reversal of 12201000001021 is 12010000010221.

It can be written as a sum of positive squares in 8 ways, for example, as 3585096099225 + 8615903901796 = 1893435^2 + 2935286^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201000001021 - 213 = 12200999992829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12201000000989 and 12201000001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201000001031) 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, 20996380 + ... + 21569653.

It is an arithmetic number, because the mean of its divisors is an integer number (870198716079).

Almost surely, 212201000001021 is an apocalyptic number.

It is an amenable number.

12201000001021 is a deficient number, since it is larger than the sum of its proper divisors (1722179456243).

12201000001021 is a wasteful number, since it uses less digits than its factorization.

12201000001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42567360.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12201000001021 its reverse (12010000010221), we get a palindrome (24211000011242).

It can be divided in two parts, 1 and 2201000001021, that added together give a palindrome (2201000001022).

The spelling of 12201000001021 in words is "twelve trillion, two hundred one billion, one thousand, twenty-one".

Divisors: 1 13 17 221 1297 16861 22049 286637 42566033 553358429 723622561 9407093293 55208144801 717705882413 938538461617 12201000001021