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12012120133313 = 278935677120721
BaseRepresentation
bin1010111011001100101000…
…1001110100111011000001
31120112100101022020200001212
42232303022021310323001
53033301310223231223
641314143010335505
72346563351314106
oct256631211647301
946470338220055
1012012120133313
113911347729403
12142004288a595
136919796c6bc1
142d756554caad
1515c6e1ec1278
hexaecca274ec1

12012120133313 has 8 divisors (see below), whose sum is σ = 12016863449640. Its totient is φ = 12007377135360.

The previous prime is 12012120133271. The next prime is 12012120133331. The reversal of 12012120133313 is 31333102121021.

12012120133313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 504509042944 + 11507611090369 = 710288^2 + 3392287^2 .

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 12012120133313 - 26 = 12012120133249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12012120138313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99442793 + ... + 99563513.

It is an arithmetic number, because the mean of its divisors is an integer number (1502107931205).

Almost surely, 212012120133313 is an apocalyptic number.

It is an amenable number.

12012120133313 is a deficient number, since it is larger than the sum of its proper divisors (4743316327).

12012120133313 is a wasteful number, since it uses less digits than its factorization.

12012120133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159187.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12012120133313 its reverse (31333102121021), we get a palindrome (43345222254334).

The spelling of 12012120133313 in words is "twelve trillion, twelve billion, one hundred twenty million, one hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 2789 35677 120721 99503153 336690869 4306963117 12012120133313