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12065131543740 = 223511217971007801
BaseRepresentation
bin1010111110010010000111…
…1000010011110010111100
31120201102012202120100012020
42233210201320103302330
53040133342133344430
641354351145040140
72353451131005102
oct257444170236274
946642182510166
1012065131543740
113931880245700
12142a378186050
13696977314992
142d9d53bb5c72
1515dc95e10b10
hexaf921e13cbc

12065131543740 has 288 divisors, whose sum is σ = 39722330394432. Its totient is φ = 2724446208000.

The previous prime is 12065131543739. The next prime is 12065131543813. The reversal of 12065131543740 is 4734513156021.

It is a happy number.

It is a super-3 number, since 3×120651315437403 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12065131543692 and 12065131543701.

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, 11467840 + ... + 12475640.

It is an arithmetic number, because the mean of its divisors is an integer number (137924758314).

Almost surely, 212065131543740 is an apocalyptic number.

12065131543740 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 12065131543740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19861165197216).

12065131543740 is an abundant number, since it is smaller than the sum of its proper divisors (27657198850692).

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

12065131543740 is a wasteful number, since it uses less digits than its factorization.

12065131543740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007949 (or 1007936 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

Adding to 12065131543740 its reverse (4734513156021), we get a palindrome (16799644699761).

The spelling of 12065131543740 in words is "twelve trillion, sixty-five billion, one hundred thirty-one million, five hundred forty-three thousand, seven hundred forty".