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12341210112 = 2103371121731
BaseRepresentation
bin10110111111001011…
…11110110000000000
31011212002011102122000
423133211332300000
5200233322210422
65400334544000
7614553361260
oct133745766000
934762142560
1012341210112
115263322900
122485068000
131218a60bba
1485107b7a0
154c36becac
hex2df97ec00

12341210112 has 1056 divisors, whose sum is σ = 50181304320. Its totient is φ = 2919628800.

The previous prime is 12341210107. The next prime is 12341210179. The reversal of 12341210112 is 21101214321.

12341210112 is a `hidden beast` number, since 1 + 2 + 341 + 210 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398103537 + ... + 398103567.

Almost surely, 212341210112 is an apocalyptic number.

12341210112 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 12341210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090652160).

12341210112 is an abundant number, since it is smaller than the sum of its proper divisors (37840094208).

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

12341210112 is a wasteful number, since it uses less digits than its factorization.

12341210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12341210112 its reverse (21101214321), we get a palindrome (33442424433).

It can be divided in two parts, 1234 and 1210112, that added together give a triangular number (1211346 = T1556).

The spelling of 12341210112 in words is "twelve billion, three hundred forty-one million, two hundred ten thousand, one hundred twelve".