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20744543121120 = 25325721323242751
BaseRepresentation
bin1001011011101111101110…
…00111111010111011100000
32201110011021212200220110100
410231313313013322323200
510204334311014333440
6112041524521102400
74240513055104200
oct455676707727340
981404255626410
1020744543121120
116678790867925
1223b0521627a00
13b76281ac7080
1451a081262400
1525e92e6d0230
hex12ddf71faee0

20744543121120 has 1296 divisors, whose sum is σ = 92708512146432. Its totient is φ = 4186473984000.

The previous prime is 20744543121059. The next prime is 20744543121161. The reversal of 20744543121120 is 2112134544702.

20744543121120 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 4 + 5 + 431 + 211 + 2 + 0 = 666.

It is a super-2 number, since 2×207445431211202 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 485219745 + ... + 485262495.

It is an arithmetic number, because the mean of its divisors is an integer number (71534345792).

Almost surely, 220744543121120 is an apocalyptic number.

20744543121120 is a gapful number since it is divisible by the number (20) 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 20744543121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46354256073216).

20744543121120 is an abundant number, since it is smaller than the sum of its proper divisors (71963969025312).

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

20744543121120 is a wasteful number, since it uses less digits than its factorization.

20744543121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42845 (or 42804 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 20744543121120 its reverse (2112134544702), we get a palindrome (22856677665822).

The spelling of 20744543121120 in words is "twenty trillion, seven hundred forty-four billion, five hundred forty-three million, one hundred twenty-one thousand, one hundred twenty".