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12220120012320 = 253251117293154883
BaseRepresentation
bin1011000111010011011111…
…1010011001011000100000
31121021020021011201022111100
42301310313322121120200
53100203301210343240
641553502353514400
72400605652155403
oct261646772313040
947236234638440
1012220120012320
113991584195060
121454411572a00
136a847721609c
14303657ca5d3a
15162d17919e30
hexb1d37e99620

12220120012320 has 576 divisors, whose sum is σ = 48332892875904. Its totient is φ = 2778657423360.

The previous prime is 12220120012283. The next prime is 12220120012327. The reversal of 12220120012320 is 2321002102221.

12220120012320 is a `hidden beast` number, since 1 + 2 + 220 + 120 + 0 + 1 + 2 + 320 = 666.

12220120012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12220120012293 and 12220120012302.

It is not an unprimeable number, because it can be changed into a prime (12220120012327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78821599 + ... + 78976481.

It is an arithmetic number, because the mean of its divisors is an integer number (83911272354).

Almost surely, 212220120012320 is an apocalyptic number.

12220120012320 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 12220120012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24166446437952).

12220120012320 is an abundant number, since it is smaller than the sum of its proper divisors (36112772863584).

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

12220120012320 is a wasteful number, since it uses less digits than its factorization.

12220120012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155225 (or 155214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12220120012320 its reverse (2321002102221), we get a palindrome (14541122114541).

The spelling of 12220120012320 in words is "twelve trillion, two hundred twenty billion, one hundred twenty million, twelve thousand, three hundred twenty".