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12472320000 = 215354729
BaseRepresentation
bin10111001110110100…
…01000000000000000
31012012012212111120210
423213122020000000
5201020403220000
65421341034120
7621034653660
oct134732100000
935165774523
1012472320000
115320332688
122500b55940
131239c7790a
1486464a1a0
154cee6c350
hex2e7688000

12472320000 has 640 divisors, whose sum is σ = 49135521600. Its totient is φ = 2752512000.

The previous prime is 12472319983. The next prime is 12472320001. The reversal of 12472320000 is 2327421.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12472320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 430079986 + ... + 430080014.

Almost surely, 212472320000 is an apocalyptic number.

12472320000 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 12472320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24567760800).

12472320000 is an abundant number, since it is smaller than the sum of its proper divisors (36663201600).

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

12472320000 is an frugal number, since it uses more digits than its factorization.

12472320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 12472320000 its reverse (2327421), we get a palindrome (12474647421).

The spelling of 12472320000 in words is "twelve billion, four hundred seventy-two million, three hundred twenty thousand".