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12397106880 = 2632531113841
BaseRepresentation
bin10111000101110110…
…01101011011000000
31011222222100021120200
423202323031123000
5200342124410010
65410053005200
7616132445514
oct134273153300
934888307520
1012397106880
115291930984
12249b923800
131227502302
1485866c144
154c8561cc0
hex2e2ecd6c0

12397106880 has 168 divisors, whose sum is σ = 42781081824. Its totient is φ = 3295027200.

The previous prime is 12397106851. The next prime is 12397106893. The reversal of 12397106880 is 8860179321.

12397106880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888760 + ... + 902600.

Almost surely, 212397106880 is an apocalyptic number.

12397106880 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 12397106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21390540912).

12397106880 is an abundant number, since it is smaller than the sum of its proper divisors (30383974944).

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

12397106880 is a wasteful number, since it uses less digits than its factorization.

12397106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175 (or 14162 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12397106880 in words is "twelve billion, three hundred ninety-seven million, one hundred six thousand, eight hundred eighty".