2011201200 has 180 divisors, whose sum is σ = 7001277088. Its totient is φ = 534643200.

The previous prime is 2011201103. The next prime is 2011201223. The reversal of 2011201200 is 21021102.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1514937 + ... + 1516263.

Almost surely, 2^2011201200 is an apocalyptic number.

2011201200 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 2011201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500638544).

2011201200 is an abundant number, since it is smaller than the sum of its proper divisors (4990075888).

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

2011201200 is a wasteful number, since it uses less digits than its factorization.

2011201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011201200 is about 44846.4179171537. The cubic root of 2011201200 is about 1262.2687770516.

Adding to 2011201200 its reverse (21021102), we get a palindrome (2032222302).

The spelling of 2011201200 in words is "two billion, eleven million, two hundred one thousand, two hundred".