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12213144243300 = 223527211132446921
BaseRepresentation
bin1011000110111001100000…
…0111111100110001100100
31121020120021000120112100210
42301232120013330301210
53100100004411241200
641550350242535420
72400241046126400
oct261563007746144
947216230515323
1012213144243300
1139896245905a0
121452ba5367570
136a7904c45300
14303195656100
15162a5a2da650
hexb1b981fcc64

12213144243300 has 648 divisors, whose sum is σ = 48557760666912. Its totient is φ = 2342575872000.

The previous prime is 12213144243203. The next prime is 12213144243301. The reversal of 12213144243300 is 334244131221.

12213144243300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12213144243301) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 27103840 + ... + 27550760.

It is an arithmetic number, because the mean of its divisors is an integer number (74934815844).

Almost surely, 212213144243300 is an apocalyptic number.

12213144243300 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 12213144243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24278880333456).

12213144243300 is an abundant number, since it is smaller than the sum of its proper divisors (36344616423612).

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

12213144243300 is a wasteful number, since it uses less digits than its factorization.

12213144243300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446989 (or 446962 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12213144243300 its reverse (334244131221), we get a palindrome (12547388374521).

The spelling of 12213144243300 in words is "twelve trillion, two hundred thirteen billion, one hundred forty-four million, two hundred forty-three thousand, three hundred".