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12130661946480 = 2435731119243863
BaseRepresentation
bin1011000010000110001111…
…0010111101010001110000
31120221200100200120201021120
42300201203302331101300
53042222043424241410
641444425453022240
72361261053151000
oct260414362752160
946850320521246
1012130661946480
113957648472140
12143b006184980
1369cbbb76bc0c
142dd1acd58000
1516082de3b570
hexb0863cbd470

12130661946480 has 1920 divisors, whose sum is σ = 51725603635200. Its totient is φ = 2329753466880.

The previous prime is 12130661946419. The next prime is 12130661946511. The reversal of 12130661946480 is 8464916603121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14056386529 + ... + 14056387391.

It is an arithmetic number, because the mean of its divisors is an integer number (26940418560).

Almost surely, 212130661946480 is an apocalyptic number.

12130661946480 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 12130661946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25862801817600).

12130661946480 is an abundant number, since it is smaller than the sum of its proper divisors (39594941688720).

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

12130661946480 is a wasteful number, since it uses less digits than its factorization.

12130661946480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 12130661946480 in words is "twelve trillion, one hundred thirty billion, six hundred sixty-one million, nine hundred forty-six thousand, four hundred eighty".