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12126226500 = 2234532271319
BaseRepresentation
bin10110100101100011…
…11000100001000100
31011022002122010120000
423102301320201010
5144313303222000
65323135041300
7606333140013
oct132261704104
934262563500
1012126226500
115162a364a3
122425070230
1311b335b86b
148306b8a7a
154ae8a6000
hex2d2c78844

12126226500 has 240 divisors, whose sum is σ = 39766446720. Its totient is φ = 3216974400.

The previous prime is 12126226499. The next prime is 12126226529. The reversal of 12126226500 is 562262121.

12126226500 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 6 + 2 + 2 + 650 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9192841 + ... + 9194159.

It is an arithmetic number, because the mean of its divisors is an integer number (165693528).

Almost surely, 212126226500 is an apocalyptic number.

12126226500 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 12126226500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883223360).

12126226500 is an abundant number, since it is smaller than the sum of its proper divisors (27640220220).

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

12126226500 is a wasteful number, since it uses less digits than its factorization.

12126226500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12126226500 its reverse (562262121), we get a palindrome (12688488621).

The spelling of 12126226500 in words is "twelve billion, one hundred twenty-six million, two hundred twenty-six thousand, five hundred".