1000121211200 has 42 divisors (see below), whose sum is σ = 2460923259246. Its totient is φ = 400048483840.

The previous prime is 1000121211197. The next prime is 1000121211281. The reversal of 1000121211200 is 21121210001.

It can be written as a sum of positive squares in 3 ways, for example, as 6542868544 + 993578342656 = 80888^2 + 996784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 312536279 + ... + 312539478.

Almost surely, 2^{1000121211200} is an apocalyptic number.

1000121211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000121211200 is an abundant number, since it is smaller than the sum of its proper divisors (1460802048046).

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

1000121211200 is an equidigital number, since it uses as much as digits as its factorization.

1000121211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625075779 (or 625075764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000121211200 its reverse (21121210001), we get a palindrome (1021242421201).

The spelling of 1000121211200 in words is "one trillion, one hundred twenty-one million, two hundred eleven thousand, two hundred".