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12113323200 = 2634521129293
BaseRepresentation
bin10110100100000001…
…01010010011000000
31011021012100120120000
423102000222103000
5144302002320300
65321554320000
7606115356036
oct132200522300
934235316500
1012113323200
115156723010
122420889000
1311b0791684
1482caba556
154ad6a7c00
hex2d202a4c0

12113323200 has 840 divisors, whose sum is σ = 50419741680. Its totient is φ = 2825625600.

The previous prime is 12113323147. The next prime is 12113323241. The reversal of 12113323200 is 232331121.

Added to its reverse (232331121) it gives a square (12345654321 = 1111112).

12113323200 is a `hidden beast` number, since 1 + 2 + 11 + 332 + 320 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41342254 + ... + 41342546.

It is an arithmetic number, because the mean of its divisors is an integer number (60023502).

Almost surely, 212113323200 is an apocalyptic number.

12113323200 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 12113323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25209870840).

12113323200 is an abundant number, since it is smaller than the sum of its proper divisors (38306418480).

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

12113323200 is a wasteful number, since it uses less digits than its factorization.

12113323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 343 counting only the distinct ones).

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

Adding to 12113323200 its reverse (232331121), we get a palindrome (12345654321).

The spelling of 12113323200 in words is "twelve billion, one hundred thirteen million, three hundred twenty-three thousand, two hundred".