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12141211248 = 2432107787981
BaseRepresentation
bin10110100111010110…
…00010111001110000
31011100010211102202200
423103223002321300
5144331122224443
65324432143200
7606604410225
oct132353027160
934303742680
1012141211248
115170440791
12242a097b00
1311b64a728a
1483269994c
154b0d65dd3
hex2d3ac2e70

12141211248 has 60 divisors (see below), whose sum is σ = 34296128568. Its totient is φ = 4009242240.

The previous prime is 12141211157. The next prime is 12141211259. The reversal of 12141211248 is 84211214121.

12141211248 is a `hidden beast` number, since 1 + 2 + 1 + 412 + 1 + 1 + 248 = 666.

12141211248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 378583 + ... + 409398.

Almost surely, 212141211248 is an apocalyptic number.

12141211248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12141211248 is an abundant number, since it is smaller than the sum of its proper divisors (22154917320).

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

12141211248 is a wasteful number, since it uses less digits than its factorization.

12141211248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788102 (or 788093 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

Adding to 12141211248 its reverse (84211214121), we get a palindrome (96352425369).

The spelling of 12141211248 in words is "twelve billion, one hundred forty-one million, two hundred eleven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 787981 1575962 2363943 3151924 4727886 6303848 7091829 9455772 12607696 14183658 18911544 28367316 37823088 56734632 84313967 113469264 168627934 252941901 337255868 505883802 674511736 758825703 1011767604 1349023472 1517651406 2023535208 3035302812 4047070416 6070605624 12141211248