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12371920000 = 27541117827
BaseRepresentation
bin10111000010110110…
…01000010010000000
31011221012221122200021
423201123020102000
5200314202420000
65403353103224
7615405404416
oct134133102200
934835848607
1012371920000
115279698680
1224933b7b14
13122222402b
148551932b6
154c623911a
hex2e16c8480

12371920000 has 320 divisors, whose sum is σ = 35618473440. Its totient is φ = 4229120000.

The previous prime is 12371919943. The next prime is 12371920007. The reversal of 12371920000 is 2917321.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12371920007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14959587 + ... + 14960413.

Almost surely, 212371920000 is an apocalyptic number.

12371920000 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 12371920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17809236720).

12371920000 is an abundant number, since it is smaller than the sum of its proper divisors (23246553440).

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

12371920000 is an equidigital number, since it uses as much as digits as its factorization.

12371920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The spelling of 12371920000 in words is "twelve billion, three hundred seventy-one million, nine hundred twenty thousand".