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12996199440 = 24335721731233
BaseRepresentation
bin11000001101010001…
…00100010000010000
31020112201122100002000
430012220210100100
5203104011340230
65545333354000
7640025605200
oct140650442020
936481570060
1012996199440
11556a019aa4
122628498900
1312c1670b53
148b405a400
15510e50b60
hex306a24410

12996199440 has 960 divisors, whose sum is σ = 57159198720. Its totient is φ = 2694021120.

The previous prime is 12996199369. The next prime is 12996199451. The reversal of 12996199440 is 4499169921.

12996199440 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 6 + 199 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55777564 + ... + 55777796.

It is an arithmetic number, because the mean of its divisors is an integer number (59540832).

Almost surely, 212996199440 is an apocalyptic number.

12996199440 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 12996199440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28579599360).

12996199440 is an abundant number, since it is smaller than the sum of its proper divisors (44162999280).

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

12996199440 is a wasteful number, since it uses less digits than its factorization.

12996199440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 12996199440 in words is "twelve billion, nine hundred ninety-six million, one hundred ninety-nine thousand, four hundred forty".