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12133240000 = 26547172549
BaseRepresentation
bin10110100110011001…
…01000110011000000
31011022120211110021021
423103030220303000
5144322102140000
65323545235224
7606446560360
oct132314506300
934276743237
1012133240000
115166996882
122427492b14
1311b4945c6b
148315c29a0
154b02de11a
hex2d3328cc0

12133240000 has 280 divisors, whose sum is σ = 36421466400. Its totient is φ = 3913728000.

The previous prime is 12133239959. The next prime is 12133240019. The reversal of 12133240000 is 4233121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4758726 + ... + 4761274.

Almost surely, 212133240000 is an apocalyptic number.

12133240000 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 12133240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18210733200).

12133240000 is an abundant number, since it is smaller than the sum of its proper divisors (24288226400).

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

12133240000 is an equidigital number, since it uses as much as digits as its factorization.

12133240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12133240000 its reverse (4233121), we get a palindrome (12137473121).

The spelling of 12133240000 in words is "twelve billion, one hundred thirty-three million, two hundred forty thousand".