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12126378880 = 275721135153
BaseRepresentation
bin10110100101100100…
…11101101110000000
31011022002220212120201
423102302131232000
5144313323111010
65323142214544
7606334343200
oct132262355600
934262825521
1012126378880
11516302aa30
122425124454
1311b33b3025
14830718400
154ae8d623a
hex2d2c9db80

12126378880 has 192 divisors, whose sum is σ = 36789364080. Its totient is φ = 3779543040.

The previous prime is 12126378877. The next prime is 12126378889. The reversal of 12126378880 is 8887362121.

It is a self number, because there is not a number n which added to its sum of digits gives 12126378880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12126378889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327384 + ... + 362536.

Almost surely, 212126378880 is an apocalyptic number.

12126378880 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 12126378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18394682040).

12126378880 is an abundant number, since it is smaller than the sum of its proper divisors (24662985200).

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

12126378880 is a wasteful number, since it uses less digits than its factorization.

12126378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35197 (or 35178 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 12126378880 in words is "twelve billion, one hundred twenty-six million, three hundred seventy-eight thousand, eight hundred eighty".