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12520405355040 = 25325113724188643
BaseRepresentation
bin1011011000110010001001…
…0100000100101000100000
31122022221100120120020212100
42312030202110010220200
53120113242232330130
642343443402530400
72431366213363032
oct266144224045040
948287316506770
1012520405355040
113a97968464590
1214a2656506a00
136ca8911b012b
14313dc2c83c52
1516aa4018ec60
hexb6322504a20

12520405355040 has 576 divisors, whose sum is σ = 48068957768832. Its totient is φ = 2940928819200.

The previous prime is 12520405355027. The next prime is 12520405355071. The reversal of 12520405355040 is 4055350402521.

12520405355040 is a `hidden beast` number, since 1 + 2 + 5 + 20 + 40 + 5 + 3 + 550 + 40 = 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 = 12520405354986 and 12520405355004.

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, 141200959 + ... + 141289601.

It is an arithmetic number, because the mean of its divisors is an integer number (83453051682).

Almost surely, 212520405355040 is an apocalyptic number.

12520405355040 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 12520405355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24034478884416).

12520405355040 is an abundant number, since it is smaller than the sum of its proper divisors (35548552413792).

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

12520405355040 is a wasteful number, since it uses less digits than its factorization.

12520405355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88953 (or 88942 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 12520405355040 its reverse (4055350402521), we get a palindrome (16575755757561).

The spelling of 12520405355040 in words is "twelve trillion, five hundred twenty billion, four hundred five million, three hundred fifty-five thousand, forty".