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12120034044141 = 331930197825703
BaseRepresentation
bin1011000001011110101001…
…0100101110100011101101
31120220122221000022100002000
42300113222110232203231
53042033312203403031
641435511120122513
72360433512365662
oct260275224564355
946818830270060
1012120034044141
113953094281881
121438b3aa66439
1369bbb69668ca
142dc881667a69
1516040ad9d3e6
hexb05ea52e8ed

12120034044141 has 32 divisors (see below), whose sum is σ = 18906900864000. Its totient is φ = 7652221838064.

The previous prime is 12120034044101. The next prime is 12120034044191. The reversal of 12120034044141 is 14144043002121.

12120034044141 is a `hidden beast` number, since 1 + 2 + 1 + 200 + 3 + 40 + 4 + 414 + 1 = 666.

It is not a de Polignac number, because 12120034044141 - 218 = 12120033781997 is a prime.

It is a super-2 number, since 2×121200340441412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120034044101) 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 31 ways as a sum of consecutive naturals, for example, 2364105 + ... + 5461598.

It is an arithmetic number, because the mean of its divisors is an integer number (590840652000).

Almost surely, 212120034044141 is an apocalyptic number.

It is an amenable number.

12120034044141 is a deficient number, since it is larger than the sum of its proper divisors (6786866819859).

12120034044141 is a wasteful number, since it uses less digits than its factorization.

12120034044141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828750 (or 7828744 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12120034044141 its reverse (14144043002121), we get a palindrome (26264077046262).

The spelling of 12120034044141 in words is "twelve trillion, one hundred twenty billion, thirty-four million, forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 57 171 513 3019 9057 27171 57361 81513 172083 516249 1548747 7825703 23477109 70431327 148688357 211293981 446065071 1338195213 4014585639 23625797357 70877392071 212632176213 448890149783 637896528639 1346670449349 4040011348047 12120034044141