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12206142720 = 28365103127
BaseRepresentation
bin10110101111000101…
…01111010100000000
31011111200000022000000
423113202233110000
5144444233031340
65335112000000
7611323333632
oct132742572400
934450008000
1012206142720
1151a405a762
122447990000
1311c6a8ca75
1483b15ca52
154b68ded30
hex2d78af500

12206142720 has 504 divisors, whose sum is σ = 44610349056. Its totient is φ = 3197988864.

The previous prime is 12206142701. The next prime is 12206142727. The reversal of 12206142720 is 2724160221.

12206142720 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 614 + 27 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12206142727) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 96111297 + ... + 96111423.

Almost surely, 212206142720 is an apocalyptic number.

12206142720 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 12206142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22305174528).

12206142720 is an abundant number, since it is smaller than the sum of its proper divisors (32404206336).

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

12206142720 is an equidigital number, since it uses as much as digits as its factorization.

12206142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12206142720 in words is "twelve billion, two hundred six million, one hundred forty-two thousand, seven hundred twenty".