1201111200 has 288 divisors, whose sum is σ = 4600955520. Its totient is φ = 301363200.

The previous prime is 1201111141. The next prime is 1201111243. The reversal of 1201111200 is 21111021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1201111200² = 2885336229530880000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 365565 + ... + 368835.

It is an arithmetic number, because the mean of its divisors is an integer number (15975540).

Almost surely, 2^1201111200 is an apocalyptic number.

1201111200 is a gapful number since it is divisible by the number (10) 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 1201111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300477760).

1201111200 is an abundant number, since it is smaller than the sum of its proper divisors (3399844320).

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

1201111200 is a wasteful number, since it uses less digits than its factorization.

1201111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1201111200 is about 34657.0512305938. The cubic root of 1201111200 is about 1062.9864752681.

Adding to 1201111200 its reverse (21111021), we get a palindrome (1222222221).

The spelling of 1201111200 in words is "one billion, two hundred one million, one hundred eleven thousand, two hundred".