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12300223001220 = 223357116110944491
BaseRepresentation
bin1011001011111101111001…
…1011000011001010000100
31121112220000200121202201000
42302333132123003022010
53103011324042014340
642054351110533300
72406442664301240
oct262773633031204
947486020552630
1012300223001220
113a1254a244230
121467a47967230
136b2ba1799c7b
143074965ad420
15164e54e7dd30
hexb2fde6c3284

12300223001220 has 768 divisors, whose sum is σ = 48938067763200. Its totient is φ = 2490870528000.

The previous prime is 12300223001207. The next prime is 12300223001233. The reversal of 12300223001220 is 2210032200321.

12300223001220 is a `hidden beast` number, since 12 + 300 + 2 + 230 + 0 + 122 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12300223001207) and next prime (12300223001233).

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 = 12300223001193 and 12300223001202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 276443175 + ... + 276487665.

It is an arithmetic number, because the mean of its divisors is an integer number (63721442400).

Almost surely, 212300223001220 is an apocalyptic number.

12300223001220 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 12300223001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24469033881600).

12300223001220 is an abundant number, since it is smaller than the sum of its proper divisors (36637844761980).

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

12300223001220 is a wasteful number, since it uses less digits than its factorization.

12300223001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44697 (or 44689 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12300223001220 its reverse (2210032200321), we get a palindrome (14510255201541).

The spelling of 12300223001220 in words is "twelve trillion, three hundred billion, two hundred twenty-three million, one thousand, two hundred twenty".