2012033241000 has 192 divisors, whose sum is σ = 6806297468880. Its totient is φ = 536098406400.

The previous prime is 2012033240983. The next prime is 2012033241079. The reversal of 2012033241000 is 1423302102.

2012033241000 is a `hidden beast` number, since 20 + 1 + 203 + 32 + 410 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 109570268196 + 1902462972804 = 331014^2 + 1379298^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10861152 + ... + 11044848.

Almost surely, 2^{2012033241000} is an apocalyptic number.

2012033241000 is a gapful number since it is divisible by the number (20) 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 2012033241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403148734440).

2012033241000 is an abundant number, since it is smaller than the sum of its proper divisors (4794264227880).

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

2012033241000 is a wasteful number, since it uses less digits than its factorization.

2012033241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184941 (or 184924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2012033241000 its reverse (1423302102), we get a palindrome (2013456543102).

The spelling of 2012033241000 in words is "two trillion, twelve billion, thirty-three million, two hundred forty-one thousand".