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12061442880 = 26325172310711
BaseRepresentation
bin10110011101110101…
…10000001101000000
31011010120201210010200
423032322300031000
5144200212133010
65312502325200
7604615400334
oct131672601500
934116653120
1012061442880
11512a408613
122407429800
1311a2ac8466
14825c537c4
154a8d5acc0
hex2ceeb0340

12061442880 has 336 divisors, whose sum is σ = 45840847104. Its totient is φ = 2895298560.

The previous prime is 12061442819. The next prime is 12061442923. The reversal of 12061442880 is 8824416021.

12061442880 is a `hidden beast` number, since 1 + 206 + 1 + 442 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1120725 + ... + 1131435.

Almost surely, 212061442880 is an apocalyptic number.

12061442880 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 12061442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22920423552).

12061442880 is an abundant number, since it is smaller than the sum of its proper divisors (33779404224).

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

12061442880 is a wasteful number, since it uses less digits than its factorization.

12061442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774 (or 10761 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12061442880 in words is "twelve billion, sixty-one million, four hundred forty-two thousand, eight hundred eighty".