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12140061120 = 26325113710357
BaseRepresentation
bin10110100111001101…
…01010000111000000
31011100001200000002100
423103212222013000
5144330323423440
65324351350400
7606561550125
oct132346520700
934301600070
1012140061120
11516a825670
122429822400
1311b6193925
1483247a74c
154b0bda230
hex2d39aa1c0

12140061120 has 336 divisors, whose sum is σ = 46788494688. Its totient is φ = 2863226880.

The previous prime is 12140061107. The next prime is 12140061137. The reversal of 12140061120 is 2116004121.

12140061120 is a `hidden beast` number, since 12 + 1 + 40 + 0 + 611 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12140061093 and 12140061102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1166982 + ... + 1177338.

Almost surely, 212140061120 is an apocalyptic number.

12140061120 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 12140061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23394247344).

12140061120 is an abundant number, since it is smaller than the sum of its proper divisors (34648433568).

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

12140061120 is a wasteful number, since it uses less digits than its factorization.

12140061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12140061120 its reverse (2116004121), we get a palindrome (14256065241).

The spelling of 12140061120 in words is "twelve billion, one hundred forty million, sixty-one thousand, one hundred twenty".