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12968968320 = 27365711192
BaseRepresentation
bin11000001010000001…
…01100000010000000
31020110211101212000000
430011000230002000
5203030023441240
65542522000000
7636245261160
oct140500540200
936424355000
1012968968320
11555570a940
12261b346000
1312b8b28269
148b05ac5a0
1550d872430
hex30502c080

12968968320 has 1344 divisors, whose sum is σ = 61165679040. Its totient is φ = 2553016320.

The previous prime is 12968968307. The next prime is 12968968343. The reversal of 12968968320 is 2386986921.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 682577271 + ... + 682577289.

Almost surely, 212968968320 is an apocalyptic number.

12968968320 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 12968968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30582839520).

12968968320 is an abundant number, since it is smaller than the sum of its proper divisors (48196710720).

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

12968968320 is an equidigital number, since it uses as much as digits as its factorization.

12968968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 12968968320 in words is "twelve billion, nine hundred sixty-eight million, nine hundred sixty-eight thousand, three hundred twenty".