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12047347415400 = 233521119375348991
BaseRepresentation
bin1010111101001111110111…
…0111001111100101101000
31120122201022100121000102020
42233103331313033211220
53034340431414243100
641342250333304440
72352251333263323
oct257237567174550
946581270530366
1012047347415400
1139252845a6880
121426a34335120
136950a1a37a0b
142d9147cdd7ba
1515d5a49995a0
hexaf4fddcf968

12047347415400 has 768 divisors, whose sum is σ = 44877299097600. Its totient is φ = 2641227264000.

The previous prime is 12047347415329. The next prime is 12047347415401. The reversal of 12047347415400 is 451474374021.

It is not an unprimeable number, because it can be changed into a prime (12047347415401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245884905 + ... + 245933895.

It is an arithmetic number, because the mean of its divisors is an integer number (58433983200).

Almost surely, 212047347415400 is an apocalyptic number.

12047347415400 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 12047347415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438649548800).

12047347415400 is an abundant number, since it is smaller than the sum of its proper divisors (32829951682200).

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

12047347415400 is a wasteful number, since it uses less digits than its factorization.

12047347415400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49130 (or 49121 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 12047347415400 in words is "twelve trillion, forty-seven billion, three hundred forty-seven million, four hundred fifteen thousand, four hundred".