Search a number
-
+
12120021331341 = 3721135472113159
BaseRepresentation
bin1011000001011110100110…
…0100001110110110001101
31120220122220010101110101120
42300113221210032312031
53042033300430100331
641435505543431153
72360433266340300
oct260275144166615
946818803343346
1012120021331341
113953088089530
121438b367554b9
1369bbb4135341
142dc87dab8b37
15160409bdb796
hexb05e990ed8d

12120021331341 has 48 divisors (see below), whose sum is σ = 20513137236480. Its totient is φ = 6294336945120.

The previous prime is 12120021331331. The next prime is 12120021331357. The reversal of 12120021331341 is 14313312002121.

12120021331341 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 12120021331341 - 26 = 12120021331277 is a prime.

It is a super-2 number, since 2×121200213313412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120021331331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4678920 + ... + 6792078.

It is an arithmetic number, because the mean of its divisors is an integer number (427357025760).

Almost surely, 212120021331341 is an apocalyptic number.

12120021331341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12120021331341 is a deficient number, since it is larger than the sum of its proper divisors (8393115905139).

12120021331341 is a wasteful number, since it uses less digits than its factorization.

12120021331341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116734 (or 2116727 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12120021331341 its reverse (14313312002121), we get a palindrome (26433333333462).

The spelling of 12120021331341 in words is "twelve trillion, one hundred twenty billion, twenty-one million, three hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 3547 10641 24829 39017 74487 117051 173803 273119 521409 819357 1911833 2113159 5735499 6339477 14792113 23244749 44376339 69734247 103544791 162713243 310634373 488139729 1138992701 3416978103 7495374973 22486124919 52467624811 82449124703 157402874433 247347374109 367273373677 577143872921 1101820121031 1731431618763 4040007110447 12120021331341