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12114476487300 = 22352116765478369
BaseRepresentation
bin1011000001001001111100…
…0100010101001010000100
31120220010120200210012022110
42300102133010111022010
53041440421440043200
641433151430301020
72360146010054235
oct260223704251204
946803520705273
1012114476487300
1139507a21760a0
121437a497b7770
1369b50c450035
142dc4b550b08c
151601d300eb50
hexb049f115284

12114476487300 has 288 divisors, whose sum is σ = 38818970426880. Its totient is φ = 2892221798400.

The previous prime is 12114476487263. The next prime is 12114476487361. The reversal of 12114476487300 is 378467441121.

It is a happy number.

It is a super-3 number, since 3×121144764873003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12114476487300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1447537516 + ... + 1447545884.

It is an arithmetic number, because the mean of its divisors is an integer number (134788091760).

Almost surely, 212114476487300 is an apocalyptic number.

12114476487300 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 12114476487300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19409485213440).

12114476487300 is an abundant number, since it is smaller than the sum of its proper divisors (26704493939580).

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

12114476487300 is a wasteful number, since it uses less digits than its factorization.

12114476487300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15011 (or 15004 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 12114476487300 in words is "twelve trillion, one hundred fourteen billion, four hundred seventy-six million, four hundred eighty-seven thousand, three hundred".