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12111142407 = 3713234741039
BaseRepresentation
bin10110100011110000…
…10101111000000111
31011021001020210001220
423101320111320013
5144300423024112
65321435451423
7606061004040
oct132170257007
934231223056
1012111142407
115155473601
12241bbb6b73
1311b01a9b70
1482c6ad8c7
154ad3c698c
hex2d1e15e07

12111142407 has 64 divisors (see below), whose sum is σ = 21180579840. Its totient is φ = 5980385664.

The previous prime is 12111142387. The next prime is 12111142411. The reversal of 12111142407 is 70424111121.

It is a happy number.

12111142407 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 12111142407 - 26 = 12111142343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111142447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274594 + ... + 315632.

It is an arithmetic number, because the mean of its divisors is an integer number (330946560).

Almost surely, 212111142407 is an apocalyptic number.

12111142407 is a deficient number, since it is larger than the sum of its proper divisors (9069437433).

12111142407 is a wasteful number, since it uses less digits than its factorization.

12111142407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41132.

The product of its (nonzero) digits is 448, while the sum is 24.

Adding to 12111142407 its reverse (70424111121), we get a palindrome (82535253528).

The spelling of 12111142407 in words is "twelve billion, one hundred eleven million, one hundred forty-two thousand, four hundred seven".

Divisors: 1 3 7 13 21 23 39 47 69 91 141 161 273 299 329 483 611 897 987 1081 1833 2093 3243 4277 6279 7567 12831 14053 22701 41039 42159 98371 123117 287273 295113 533507 861819 943897 1600521 1928833 2831691 3734549 5786499 6607279 11203647 12270661 13501831 19821837 25074829 36811983 40505493 44363159 75224487 85894627 133089477 175523803 257683881 310542113 526571409 576721067 931626339 1730163201 4037047469 12111142407