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12126185800 = 235260630929
BaseRepresentation
bin10110100101100011…
…01110100101001000
31011022002120001201121
423102301232211020
5144313300421200
65323134125024
7606332610241
oct132261564510
934262501647
1012126185800
115162a08963
122425050774
1311b3346191
148306a7cc8
154ae898e1a
hex2d2c6e948

12126185800 has 24 divisors (see below), whose sum is σ = 28193382450. Its totient is φ = 4850474240.

The previous prime is 12126185737. The next prime is 12126185801. The reversal of 12126185800 is 858162121.

It can be written as a sum of positive squares in 3 ways, for example, as 9752352516 + 2373833284 = 98754^2 + 48722^2 .

It is a super-2 number, since 2×121261858002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12126185801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30315265 + ... + 30315664.

Almost surely, 212126185800 is an apocalyptic number.

12126185800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12126185800 is an abundant number, since it is smaller than the sum of its proper divisors (16067196650).

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

12126185800 is a wasteful number, since it uses less digits than its factorization.

12126185800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60630945 (or 60630936 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The spelling of 12126185800 in words is "twelve billion, one hundred twenty-six million, one hundred eighty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60630929 121261858 242523716 303154645 485047432 606309290 1212618580 1515773225 2425237160 3031546450 6063092900 12126185800