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12994212000 = 25353741141
BaseRepresentation
bin11000001101000001…
…11111000010100000
31020112120220100211010
430012200333002200
5203103004241000
65545223020520
7640002660000
oct140640770240
936476810733
1012994212000
115568991890
12262789a740
1312c1126353
148b3aa0000
15510babd50
hex30683f0a0

12994212000 has 960 divisors, whose sum is σ = 55496907648. Its totient is φ = 2634240000.

The previous prime is 12994211969. The next prime is 12994212017. The reversal of 12994212000 is 21249921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 316931980 + ... + 316932020.

Almost surely, 212994212000 is an apocalyptic number.

12994212000 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 12994212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27748453824).

12994212000 is an abundant number, since it is smaller than the sum of its proper divisors (42502695648).

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

12994212000 is an equidigital number, since it uses as much as digits as its factorization.

12994212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 12994212000 in words is "twelve billion, nine hundred ninety-four million, two hundred twelve thousand".