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12042244203552 = 2533532411091191
BaseRepresentation
bin1010111100111100110110…
…1100000010010000100000
31120122020010200222222211000
42233033031230002100200
53034300004004003202
641340044113552000
72352011015555553
oct257171554022040
946566120888730
1012042244203552
1139230a5a04222
121425a4b275600
1369476a6ac734
142d8bc225269a
1515d3a695691c
hexaf3cdb02420

12042244203552 has 192 divisors, whose sum is σ = 35934436581120. Its totient is φ = 3921998745600.

The previous prime is 12042244203533. The next prime is 12042244203559. The reversal of 12042244203552 is 25530244224021.

12042244203552 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 224 + 420 + 3 + 5 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12042244203559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10490277 + ... + 11581467.

It is an arithmetic number, because the mean of its divisors is an integer number (187158523860).

Almost surely, 212042244203552 is an apocalyptic number.

12042244203552 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 12042244203552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967218290560).

12042244203552 is an abundant number, since it is smaller than the sum of its proper divisors (23892192377568).

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

12042244203552 is a wasteful number, since it uses less digits than its factorization.

12042244203552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091504 (or 1091490 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 12042244203552 its reverse (25530244224021), we get a palindrome (37572488427573).

The spelling of 12042244203552 in words is "twelve trillion, forty-two billion, two hundred forty-four million, two hundred three thousand, five hundred fifty-two".