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12199466496 = 29372192449
BaseRepresentation
bin10110101110010010…
…10001011000000000
31011111012110002221110
423113021101120000
5144441030411441
65334312523320
7611212516500
oct132711213000
934435402843
1012199466496
1151a030a818
1224456b0540
1311c5593039
1483a301a00
154b6021b16
hex2d7251600

12199466496 has 360 divisors, whose sum is σ = 39989683800. Its totient is φ = 3294756864.

The previous prime is 12199466491. The next prime is 12199466557. The reversal of 12199466496 is 69466499121.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12199466491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27170080 + ... + 27170528.

It is an arithmetic number, because the mean of its divisors is an integer number (111082455).

Almost surely, 212199466496 is an apocalyptic number.

12199466496 is a gapful number since it is divisible by the number (16) 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 12199466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994841900).

12199466496 is an abundant number, since it is smaller than the sum of its proper divisors (27790217304).

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

12199466496 is an equidigital number, since it uses as much as digits as its factorization.

12199466496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 480 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 57.

The spelling of 12199466496 in words is "twelve billion, one hundred ninety-nine million, four hundred sixty-six thousand, four hundred ninety-six".