Search a number
-
+
12111112312320 = 293571811244647
BaseRepresentation
bin1011000000111101011010…
…0011000001011000000000
31120212210220020111101211010
42300033112203001120000
53041412024222443240
641431433532320520
72356666440046020
oct260172643013000
946783806441733
1012111112312320
11394a32618969a
12143726b013140
1369b0c448b658
142dc2767c7a80
151600879d2280
hexb03d68c1600

12111112312320 has 320 divisors, whose sum is σ = 44493318245376. Its totient is φ = 2752957808640.

The previous prime is 12111112312291. The next prime is 12111112312337. The reversal of 12111112312320 is 2321321111121.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9108237 + ... + 10352883.

Almost surely, 212111112312320 is an apocalyptic number.

12111112312320 is a gapful number since it is divisible by the number (10) 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 12111112312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22246659122688).

12111112312320 is an abundant number, since it is smaller than the sum of its proper divisors (32382205933056).

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

12111112312320 is a wasteful number, since it uses less digits than its factorization.

12111112312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244861 (or 1244845 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 12111112312320 its reverse (2321321111121), we get a palindrome (14432433423441).

The spelling of 12111112312320 in words is "twelve trillion, one hundred eleven billion, one hundred twelve million, three hundred twelve thousand, three hundred twenty".