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12069899527680 = 293451031633467
BaseRepresentation
bin1010111110100011111000…
…0100101110011000000000
31120201212112001101000120000
42233220332010232120000
53040223123234341210
641400500231320000
72354010235131651
oct257507604563000
946655461330500
1012069899527680
1139338a76925a5
12142b288b20000
13697257089757
142da28711d528
1515de747d6ac0
hexafa3e12e600

12069899527680 has 800 divisors, whose sum is σ = 43930741181184. Its totient is φ = 3166922686464.

The previous prime is 12069899527571. The next prime is 12069899527717. The reversal of 12069899527680 is 8672599896021.

12069899527680 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 9 + 8 + 99 + 527 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12069899527599 and 12069899527608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3481365307 + ... + 3481368773.

Almost surely, 212069899527680 is an apocalyptic number.

12069899527680 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 12069899527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965370590592).

12069899527680 is an abundant number, since it is smaller than the sum of its proper divisors (31860841653504).

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

12069899527680 is a wasteful number, since it uses less digits than its factorization.

12069899527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 12069899527680 in words is "twelve trillion, sixty-nine billion, eight hundred ninety-nine million, five hundred twenty-seven thousand, six hundred eighty".