20011002013200 has 240 divisors, whose sum is σ = 69934287347712. Its totient is φ = 4850809920000.

The previous prime is 20011002013169. The next prime is 20011002013217. The reversal of 20011002013200 is 231020011002.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 222124165 + ... + 222214235.

Almost surely, 2^{20011002013200} is an apocalyptic number.

20011002013200 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 20011002013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34967143673856).

20011002013200 is an abundant number, since it is smaller than the sum of its proper divisors (49923285334512).

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

20011002013200 is a wasteful number, since it uses less digits than its factorization.

20011002013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106934 (or 106923 counting only the distinct ones).

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

Adding to 20011002013200 its reverse (231020011002), we get a palindrome (20242022024202).

The spelling of 20011002013200 in words is "twenty trillion, eleven billion, two million, thirteen thousand, two hundred".