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12140144412 = 22311225732533
BaseRepresentation
bin10110100111001101…
…11110011100011100
31011100001211020100020
423103212332130130
5144330334110122
65324353232140
7606562345014
oct132346763434
934301736306
1012140144412
11516a882200
122429862650
1311b61c2806
1483249cc44
154b0c04c5c
hex2d39be71c

12140144412 has 72 divisors (see below), whose sum is σ = 31258406928. Its totient is φ = 3664404480.

The previous prime is 12140144369. The next prime is 12140144519. The reversal of 12140144412 is 21444104121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356898 + ... + 389430.

Almost surely, 212140144412 is an apocalyptic number.

12140144412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140144412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629203464).

12140144412 is an abundant number, since it is smaller than the sum of its proper divisors (19118262516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12140144412 is a wasteful number, since it uses less digits than its factorization.

12140144412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32819 (or 32806 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12140144412 its reverse (21444104121), we get a palindrome (33584248533).

The spelling of 12140144412 in words is "twelve billion, one hundred forty million, one hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 257 363 484 514 726 771 1028 1452 1542 2827 3084 5654 8481 11308 16962 31097 32533 33924 62194 65066 93291 97599 124388 130132 186582 195198 357863 373164 390396 715726 1073589 1431452 2147178 3936493 4294356 7872986 8360981 11809479 15745972 16721962 23618958 25082943 33443924 47237916 50165886 91970791 100331772 183941582 275912373 367883164 551824746 1011678701 1103649492 2023357402 3035036103 4046714804 6070072206 12140144412