2001233103012 has 192 divisors, whose sum is σ = 6112437811200. Its totient is φ = 558224645760.

The previous prime is 2001233102977. The next prime is 2001233103013. The reversal of 2001233103012 is 2103013321002.

2001233103012 is a `hidden beast` number, since 20 + 0 + 12 + 331 + 0 + 301 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2001233103013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5363923 + ... + 5724869.

It is an arithmetic number, because the mean of its divisors is an integer number (31835613600).

Almost surely, 2^{2001233103012} is an apocalyptic number.

2001233103012 is a gapful number since it is divisible by the number (22) 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 2001233103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056218905600).

2001233103012 is an abundant number, since it is smaller than the sum of its proper divisors (4111204708188).

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

2001233103012 is a wasteful number, since it uses less digits than its factorization.

2001233103012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361343 (or 361335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2001233103012 its reverse (2103013321002), we get a palindrome (4104246424014).

The spelling of 2001233103012 in words is "two trillion, one billion, two hundred thirty-three million, one hundred three thousand, twelve".