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12215320400000 = 2755194993221
BaseRepresentation
bin1011000111000001100111…
…0101010101000010000000
31121020202212200101202011002
42301300121311111002000
53100113434010300000
641551350221311132
72400346012141514
oct261603165250200
947222780352132
1012215320400000
11398a540a05303
1214534b21054a8
136a7b90a490b3
14303320688144
15162b363978d5
hexb1c19d55080

12215320400000 has 384 divisors, whose sum is σ = 32092086600000. Its totient is φ = 4618252800000.

The previous prime is 12215320399999. The next prime is 12215320400027. The reversal of 12215320400000 is 402351221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3792398390 + ... + 3792401610.

Almost surely, 212215320400000 is an apocalyptic number.

12215320400000 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 12215320400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16046043300000).

12215320400000 is an abundant number, since it is smaller than the sum of its proper divisors (19876766200000).

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

12215320400000 is an frugal number, since it uses more digits than its factorization.

12215320400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12215320400000 its reverse (402351221), we get a palindrome (12215722751221).

The spelling of 12215320400000 in words is "twelve trillion, two hundred fifteen billion, three hundred twenty million, four hundred thousand".