Search a number
-
+
12300223123220 = 22517194361725909
BaseRepresentation
bin1011001011111101111001…
…1011100000111100010100
31121112220000200211222001112
42302333132123200330110
53103011324104420340
642054351113314152
72406442665320024
oct262773633407424
947486020758045
1012300223123220
113a1254a31795a
121467a47a05958
136b2ba1810666
14307496601a84
15164e54ea5065
hexb2fde6e0f14

12300223123220 has 192 divisors, whose sum is σ = 29941871097600. Its totient is φ = 4214679920640.

The previous prime is 12300223123217. The next prime is 12300223123229. The reversal of 12300223123220 is 2232132200321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300223123229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16581626 + ... + 17307534.

It is an arithmetic number, because the mean of its divisors is an integer number (155947245300).

Almost surely, 212300223123220 is an apocalyptic number.

12300223123220 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 12300223123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970935548800).

12300223123220 is an abundant number, since it is smaller than the sum of its proper divisors (17641647974380).

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

12300223123220 is a wasteful number, since it uses less digits than its factorization.

12300223123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726058 (or 726056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12300223123220 its reverse (2232132200321), we get a palindrome (14532355323541).

The spelling of 12300223123220 in words is "twelve trillion, three hundred billion, two hundred twenty-three million, one hundred twenty-three thousand, two hundred twenty".