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12320122132000 = 255323409327419
BaseRepresentation
bin1011001101001000000010…
…0000001101011000100000
31121121210101111100100101201
42303102000200031120200
53103323102231211000
642111441434210544
72411046053152624
oct263220040153040
947553344310351
1012320122132000
113a1aa30838761
12146b87bb83a54
136b4a232b8577
14308423319184
1516571be2296a
hexb348080d620

12320122132000 has 192 divisors, whose sum is σ = 31663976198400. Its totient is φ = 4702246348800.

The previous prime is 12320122131983. The next prime is 12320122132139. The reversal of 12320122132000 is 23122102321.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37464291 + ... + 37791709.

It is an arithmetic number, because the mean of its divisors is an integer number (164916542700).

Almost surely, 212320122132000 is an apocalyptic number.

12320122132000 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 12320122132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15831988099200).

12320122132000 is an abundant number, since it is smaller than the sum of its proper divisors (19343854066400).

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

12320122132000 is a wasteful number, since it uses less digits than its factorization.

12320122132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327876 (or 327858 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12320122132000 its reverse (23122102321), we get a palindrome (12343244234321).

The spelling of 12320122132000 in words is "twelve trillion, three hundred twenty billion, one hundred twenty-two million, one hundred thirty-two thousand".