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12320123322132 = 223217317165913879
BaseRepresentation
bin1011001101001000000010…
…0100101111111100010100
31121121210101120120210221200
42303102000210233330110
53103323103032302012
642111441515512500
72411046066240453
oct263220044577424
947553346523850
1012320123322132
113a1aa3148093a
12146b880458730
136b4a236141a2
14308423548b9a
1516571c0aa3dc
hexb348092ff14

12320123322132 has 288 divisors, whose sum is σ = 34572419481600. Its totient is φ = 3681911116800.

The previous prime is 12320123322107. The next prime is 12320123322179. The reversal of 12320123322132 is 23122332102321.

12320123322132 is a `hidden beast` number, since 1 + 2 + 3 + 201 + 2 + 3 + 322 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12320123322096 and 12320123322105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 887673969 + ... + 887687847.

It is an arithmetic number, because the mean of its divisors is an integer number (120043123200).

Almost surely, 212320123322132 is an apocalyptic number.

12320123322132 is a gapful number since it is divisible by the number (12) 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 12320123322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286209740800).

12320123322132 is an abundant number, since it is smaller than the sum of its proper divisors (22252296159468).

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

12320123322132 is a wasteful number, since it uses less digits than its factorization.

12320123322132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14667 (or 14662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12320123322132 its reverse (23122332102321), we get a palindrome (35442455424453).

The spelling of 12320123322132 in words is "twelve trillion, three hundred twenty billion, one hundred twenty-three million, three hundred twenty-two thousand, one hundred thirty-two".