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12230200320 = 2103513232663
BaseRepresentation
bin10110110001111101…
…00000110000000000
31011120100021112211020
423120332200300000
5200021412402240
65341331345440
7612034662462
oct133076406000
934510245736
1012230200320
1152066a1578
122453a52280
1311cba64030
14840422132
154b8a930d0
hex2d8fa0c00

12230200320 has 352 divisors, whose sum is σ = 43974669312. Its totient is φ = 2878537728.

The previous prime is 12230200291. The next prime is 12230200331. The reversal of 12230200320 is 2300203221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12230200320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4591309 + ... + 4593971.

Almost surely, 212230200320 is an apocalyptic number.

12230200320 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 12230200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21987334656).

12230200320 is an abundant number, since it is smaller than the sum of its proper divisors (31744468992).

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

12230200320 is a wasteful number, since it uses less digits than its factorization.

12230200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12230200320 its reverse (2300203221), we get a palindrome (14530403541).

The spelling of 12230200320 in words is "twelve billion, two hundred thirty million, two hundred thousand, three hundred twenty".