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12300022332000 = 2532531337710327
BaseRepresentation
bin1011001011111101001001…
…1101100011101001100000
31121112212111201000201021200
42302333102131203221200
53103010421204111000
642054315141521200
72406435006525624
oct262772235435140
947485451021250
1012300022332000
113a12456a444a7
1214679b0713200
136b2b6c03a1a0
14307477a95184
15164e42541500
hexb2fd2763a60

12300022332000 has 576 divisors, whose sum is σ = 48281312386944. Its totient is φ = 2945863987200.

The previous prime is 12300022331977. The next prime is 12300022332029. The reversal of 12300022332000 is 23322000321.

It is a happy number.

12300022332000 is a `hidden beast` number, since 1 + 230 + 0 + 0 + 2 + 233 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16960837 + ... + 17671163.

It is an arithmetic number, because the mean of its divisors is an integer number (83821722894).

Almost surely, 212300022332000 is an apocalyptic number.

12300022332000 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 12300022332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140656193472).

12300022332000 is an abundant number, since it is smaller than the sum of its proper divisors (35981290054944).

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

12300022332000 is a wasteful number, since it uses less digits than its factorization.

12300022332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710408 (or 710387 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12300022332000 its reverse (23322000321), we get a palindrome (12323344332321).

The spelling of 12300022332000 in words is "twelve trillion, three hundred billion, twenty-two million, three hundred thirty-two thousand".