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12120033111301 = 137135376535229
BaseRepresentation
bin1011000001011110101001…
…0001001010110100000101
31120220122220221112221110101
42300113222101022310011
53042033311434030201
641435511044124101
72360433501432223
oct260275221126405
946818827487411
1012120033111301
1139530937a4a35
121438b3a696631
1369bbb66cb12b
142dc8814a3b13
1516040ac66d01
hexb05ea44ad05

12120033111301 has 8 divisors (see below), whose sum is σ = 12209404236120. Its totient is φ = 12030675084288.

The previous prime is 12120033111293. The next prime is 12120033111371. The reversal of 12120033111301 is 10311133002121.

It can be written as a sum of positive squares in 4 ways, for example, as 6179475081025 + 5940558030276 = 2485855^2 + 2437326^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12120033111301 - 23 = 12120033111293 is a prime.

It is a super-3 number, since 3×121200331113013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120033111371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1413046 + ... + 5122183.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175529515).

Almost surely, 212120033111301 is an apocalyptic number.

It is an amenable number.

12120033111301 is a deficient number, since it is larger than the sum of its proper divisors (89371124819).

12120033111301 is a wasteful number, since it uses less digits than its factorization.

12120033111301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548903.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12120033111301 its reverse (10311133002121), we get a palindrome (22431166113422).

The spelling of 12120033111301 in words is "twelve trillion, one hundred twenty billion, thirty-three million, one hundred eleven thousand, three hundred one".

Divisors: 1 137 13537 1854569 6535229 895326373 88467394973 12120033111301