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12213320322000 = 243537501158031
BaseRepresentation
bin1011000110111010001010…
…0111101000101111010000
31121020120201021220020221010
42301232202213220233100
53100100340000301000
641550415532530520
72400245314563360
oct261564247505720
947216637806833
1012213320322000
113989704a15086
121453034320a40
136a79325753a5
143031b0bac9a0
15162a6a9bbd50
hexb1ba29e8bd0

12213320322000 has 320 divisors, whose sum is σ = 45010607136768. Its totient is φ = 2791010880000.

The previous prime is 12213320321963. The next prime is 12213320322029. The reversal of 12213320322000 is 22302331221.

It is a happy number.

12213320322000 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210432985 + ... + 210491015.

Almost surely, 212213320322000 is an apocalyptic number.

12213320322000 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 12213320322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22505303568384).

12213320322000 is an abundant number, since it is smaller than the sum of its proper divisors (32797286814768).

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

12213320322000 is a wasteful number, since it uses less digits than its factorization.

12213320322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63075 (or 63059 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12213320322000 its reverse (22302331221), we get a palindrome (12235622653221).

The spelling of 12213320322000 in words is "twelve trillion, two hundred thirteen billion, three hundred twenty million, three hundred twenty-two thousand".