20130201012000 has 192 divisors, whose sum is σ = 66112666349184. Its totient is φ = 5354530790400.

The previous prime is 20130201011971. The next prime is 20130201012001. The reversal of 20130201012000 is 21010203102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20130201012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2651259 + ... + 6876741.

It is an arithmetic number, because the mean of its divisors is an integer number (344336803902).

Almost surely, 2^{20130201012000} is an apocalyptic number.

20130201012000 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 20130201012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33056333174592).

20130201012000 is an abundant number, since it is smaller than the sum of its proper divisors (45982465337184).

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

20130201012000 is a wasteful number, since it uses less digits than its factorization.

20130201012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225908 (or 4225890 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20130201012000 its reverse (21010203102), we get a palindrome (20151211215102).

The spelling of 20130201012000 in words is "twenty trillion, one hundred thirty billion, two hundred one million, twelve thousand".