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12213310320000 = 27325446336637
BaseRepresentation
bin1011000110111010001000…
…0001011110110110000000
31121020120200121002002202200
42301232202001132312000
53100100324420220000
641550414534313200
72400245133555126
oct261564201366600
947216617062680
1012213310320000
1139896aa303469
121453030ab8800
136a793048294a
143031ad727916
15162a69b93500
hexb1ba205ed80

12213310320000 has 480 divisors, whose sum is σ = 44013337848480. Its totient is φ = 3249759744000.

The previous prime is 12213310319953. The next prime is 12213310320119. The reversal of 12213310320000 is 2301331221.

12213310320000 is a `hidden beast` number, since 1 + 22 + 13 + 310 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 333341682 + ... + 333378318.

It is an arithmetic number, because the mean of its divisors is an integer number (91694453851).

Almost surely, 212213310320000 is an apocalyptic number.

12213310320000 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 12213310320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22006668924240).

12213310320000 is an abundant number, since it is smaller than the sum of its proper divisors (31800027528480).

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

12213310320000 is an equidigital number, since it uses as much as digits as its factorization.

12213310320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37140 (or 37110 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12213310320000 its reverse (2301331221), we get a palindrome (12215611651221).

The spelling of 12213310320000 in words is "twelve trillion, two hundred thirteen billion, three hundred ten million, three hundred twenty thousand".