Search a number
-
+
12120211222112 = 25731109131251487
BaseRepresentation
bin1011000001011111010011…
…1000100110111001100000
31120220200101100200220120002
42300113310320212321200
53042034143033101422
641435540445435132
72360441063361560
oct260276470467140
946820340626502
1012120211222112
113953175297254
121438b8a26baa8
1369bc14590146
142dc89adc8da0
1516041b6ea692
hexb05f4e26e60

12120211222112 has 384 divisors, whose sum is σ = 28798342594560. Its totient is φ = 4912876800000.

The previous prime is 12120211222109. The next prime is 12120211222121. The reversal of 12120211222112 is 21122211202121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24887497133 + ... + 24887497619.

It is an arithmetic number, because the mean of its divisors is an integer number (74995683840).

Almost surely, 212120211222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120211222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399171297280).

12120211222112 is an abundant number, since it is smaller than the sum of its proper divisors (16678131372448).

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

12120211222112 is a wasteful number, since it uses less digits than its factorization.

12120211222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12120211222112 its reverse (21122211202121), we get a palindrome (33242422424233).

The spelling of 12120211222112 in words is "twelve trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twelve".