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12320406254340 = 223253710122780687
BaseRepresentation
bin1011001101001001000101…
…1100000011001100000100
31121121211010021222020222100
42303102101130003030010
53103324143000114330
642111525544032100
72411056103152632
oct263222134031404
947554107866870
1012320406254340
113a20067158008
12146b93b162630
136b4a6a1173b2
1430844cd58352
15165736d47060
hexb3491703304

12320406254340 has 288 divisors, whose sum is σ = 38933209695744. Its totient is φ = 3151014220800.

The previous prime is 12320406254329. The next prime is 12320406254353. The reversal of 12320406254340 is 4345260402321.

12320406254340 is a `hidden beast` number, since 1 + 2 + 3 + 20 + 4 + 0 + 625 + 4 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12320406254295 and 12320406254304.

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 95 ways as a sum of consecutive naturals, for example, 152653477 + ... + 152734163.

It is an arithmetic number, because the mean of its divisors is an integer number (135184755888).

Almost surely, 212320406254340 is an apocalyptic number.

12320406254340 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 12320406254340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466604847872).

12320406254340 is an abundant number, since it is smaller than the sum of its proper divisors (26612803441404).

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

12320406254340 is a wasteful number, since it uses less digits than its factorization.

12320406254340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81067 (or 81062 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 12320406254340 its reverse (4345260402321), we get a palindrome (16665666656661).

The spelling of 12320406254340 in words is "twelve trillion, three hundred twenty billion, four hundred six million, two hundred fifty-four thousand, three hundred forty".