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12120144012 = 22322831189649
BaseRepresentation
bin10110100100110101…
…01011100010001100
31011021200012002221200
423102122223202030
5144310224102022
65322400425500
7606230344554
oct132232534214
934250162850
1012120144012
11515a561649
122423018290
1311b200c162
1482d974164
154ae0a3bac
hex2d26ab88c

12120144012 has 36 divisors (see below), whose sum is σ = 30745314600. Its totient is φ = 4025768832.

The previous prime is 12120144007. The next prime is 12120144013. The reversal of 12120144012 is 21044102121.

12120144012 is a `hidden beast` number, since 1 + 21 + 201 + 440 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×121201440122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12120144013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584637 + ... + 605012.

Almost surely, 212120144012 is an apocalyptic number.

12120144012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120144012 is an abundant number, since it is smaller than the sum of its proper divisors (18625170588).

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

12120144012 is a wasteful number, since it uses less digits than its factorization.

12120144012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189942 (or 1189937 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12120144012 its reverse (21044102121), we get a palindrome (33164246133).

The spelling of 12120144012 in words is "twelve billion, one hundred twenty million, one hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 283 566 849 1132 1698 2547 3396 5094 10188 1189649 2379298 3568947 4758596 7137894 10706841 14275788 21413682 42827364 336670667 673341334 1010012001 1346682668 2020024002 3030036003 4040048004 6060072006 12120144012