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12472596995040 = 25325713268735423
BaseRepresentation
bin1011010110000000000010…
…1101101001101111100000
31122011100221201200221010100
42311200000231221233200
53113322334312320130
642305455411502400
72425054403130210
oct265400055515740
948140851627110
1012472596995040
113a79664931066
1214953335b7a00
136c6212505810
14311969656240
15169692e14c60
hexb5800b69be0

12472596995040 has 576 divisors, whose sum is σ = 52405882454016. Its totient is φ = 2630527266816.

The previous prime is 12472596995029. The next prime is 12472596995041. The reversal of 12472596995040 is 4059969527421.

12472596995040 is a `hidden beast` number, since 1 + 2 + 4 + 72 + 59 + 6 + 9 + 9 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12472596995041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352086769 + ... + 352122191.

It is an arithmetic number, because the mean of its divisors is an integer number (90982434816).

Almost surely, 212472596995040 is an apocalyptic number.

12472596995040 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 12472596995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26202941227008).

12472596995040 is an abundant number, since it is smaller than the sum of its proper divisors (39933285458976).

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

12472596995040 is a wasteful number, since it uses less digits than its factorization.

12472596995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38151 (or 38140 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 12472596995040 in words is "twelve trillion, four hundred seventy-two billion, five hundred ninety-six million, nine hundred ninety-five thousand, forty".