1000312121200 has 120 divisors (see below), whose sum is σ = 2749674580992. Its totient is φ = 342576648960.

The previous prime is 1000312121189. The next prime is 1000312121299. The reversal of 1000312121200 is 21212130001.

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, 2282217 + ... + 2684983.

Almost surely, 2^{1000312121200} is an apocalyptic number.

1000312121200 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 1000312121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374837290496).

1000312121200 is an abundant number, since it is smaller than the sum of its proper divisors (1749362459792).

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

1000312121200 is a wasteful number, since it uses less digits than its factorization.

1000312121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403679 (or 403668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1000312121200 its reverse (21212130001), we get a palindrome (1021524251201).

The spelling of 1000312121200 in words is "one trillion, three hundred twelve million, one hundred twenty-one thousand, two hundred".