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13322120000 = 265473971
BaseRepresentation
bin11000110100000111…
…10110101101000000
31021101102220211000212
430122003312231000
5204240430320000
610041535133252
7651064103000
oct143203665500
937342824025
1013322120000
115716a97a32
1226b9674228
131344045b57
1490545a000
1552e87ec35
hex31a0f6b40

13322120000 has 280 divisors, whose sum is σ = 38563905600. Its totient is φ = 4562880000.

The previous prime is 13322119991. The next prime is 13322120033. The reversal of 13322120000 is 2122331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13719515 + ... + 13720485.

Almost surely, 213322120000 is an apocalyptic number.

13322120000 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 13322120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19281952800).

13322120000 is an abundant number, since it is smaller than the sum of its proper divisors (25241785600).

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

13322120000 is an frugal number, since it uses more digits than its factorization.

13322120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13322120000 its reverse (2122331), we get a palindrome (13324242331).

The spelling of 13322120000 in words is "thirteen billion, three hundred twenty-two million, one hundred twenty thousand".