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12408695040 = 283572320071
BaseRepresentation
bin10111000111001110…
…11010100100000000
31012000210011000112210
423203213122210000
5200403111220130
65411145222120
7616333111320
oct134347324400
935023130483
1012408695040
115298426275
1224a3791940
131229a2ba01
1485a007280
154c95a05b0
hex2e39da900

12408695040 has 288 divisors, whose sum is σ = 47263297536. Its totient is φ = 2712821760.

The previous prime is 12408695003. The next prime is 12408695081. The reversal of 12408695040 is 4059680421.

It is a self number, because there is not a number n which added to its sum of digits gives 12408695040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608205 + ... + 628275.

It is an arithmetic number, because the mean of its divisors is an integer number (164108672).

Almost surely, 212408695040 is an apocalyptic number.

12408695040 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 12408695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631648768).

12408695040 is an abundant number, since it is smaller than the sum of its proper divisors (34854602496).

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

12408695040 is a wasteful number, since it uses less digits than its factorization.

12408695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20125 (or 20111 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 12408695040 in words is "twelve billion, four hundred eight million, six hundred ninety-five thousand, forty".