1000121200 has 120 divisors (see below), whose sum is σ = 2651299056. Its totient is φ = 360192000.

The previous prime is 1000121197. The next prime is 1000121257. The reversal of 1000121200 is 21210001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210855 + ... + 215545.

Almost surely, 2^1000121200 is an apocalyptic number.

1000121200 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 1000121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325649528).

1000121200 is an abundant number, since it is smaller than the sum of its proper divisors (1651177856).

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

1000121200 is a wasteful number, since it uses less digits than its factorization.

1000121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1000121200 is about 31624.6928838843. The cubic root of 1000121200 is about 1000.0403983679.

Adding to 1000121200 its reverse (21210001), we get a palindrome (1021331201).

The spelling of 1000121200 in words is "one billion, one hundred twenty-one thousand, two hundred".