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12202999034040 = 23325472387930203
BaseRepresentation
bin1011000110010011101101…
…1011000011000010111000
31121012121001222120111120200
42301210323123003002320
53044413220223042130
641541551431522200
72366431456230003
oct261447333030270
947177058514520
1012202999034040
113985298906731
121451033829360
136a69791456c9
143028b20d453a
151626647e7760
hexb193b6c30b8

12202999034040 has 192 divisors, whose sum is σ = 40506608563200. Its totient is φ = 3184657380096.

The previous prime is 12202999034027. The next prime is 12202999034069. The reversal of 12202999034040 is 4043099920221.

12202999034040 is a `hidden beast` number, since 12 + 2 + 0 + 299 + 9 + 0 + 340 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 404017579 + ... + 404047781.

It is an arithmetic number, because the mean of its divisors is an integer number (210971919600).

Almost surely, 212202999034040 is an apocalyptic number.

12202999034040 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 12202999034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20253304281600).

12202999034040 is an abundant number, since it is smaller than the sum of its proper divisors (28303609529160).

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

12202999034040 is a wasteful number, since it uses less digits than its factorization.

12202999034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54146 (or 54139 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12202999034040 in words is "twelve trillion, two hundred two billion, nine hundred ninety-nine million, thirty-four thousand, forty".