1201121200 has 60 divisors (see below), whose sum is σ = 2926406448. Its totient is φ = 473670400.

The previous prime is 1201121149. The next prime is 1201121219. The reversal of 1201121200 is 21211021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7254 + ... + 49546.

Almost surely, 2^1201121200 is an apocalyptic number.

1201121200 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 1201121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463203224).

1201121200 is an abundant number, since it is smaller than the sum of its proper divisors (1725285248).

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

1201121200 is a wasteful number, since it uses less digits than its factorization.

1201121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42382 (or 42371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1201121200 is about 34657.1955010788. The cubic root of 1201121200 is about 1062.9894252684.

Adding to 1201121200 its reverse (21211021), we get a palindrome (1222332221).

The spelling of 1201121200 in words is "one billion, two hundred one million, one hundred twenty-one thousand, two hundred".