12141833340 has 192 divisors, whose sum is σ = 44045245440. Its totient is φ = 2426941440.

The previous prime is 12141833339. The next prime is 12141833351. The reversal of 12141833340 is 4333814121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12141833298 and 12141833307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45220 + ... + 162260.

It is an arithmetic number, because the mean of its divisors is an integer number (229402320).

Almost surely, 2^12141833340 is an apocalyptic number.

12141833340 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 12141833340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22022622720).

12141833340 is an abundant number, since it is smaller than the sum of its proper divisors (31903412100).

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

12141833340 is a wasteful number, since it uses less digits than its factorization.

12141833340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117092 (or 117090 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 12141833340 in words is "twelve billion, one hundred forty-one million, eight hundred thirty-three thousand, three hundred forty".