1012221111200 has 144 divisors (see below), whose sum is σ = 2687519222136. Its totient is φ = 370042368000.

The previous prime is 1012221111157. The next prime is 1012221111203. The reversal of 1012221111200 is 21111222101.

1012221111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 146882095504 + 865339015696 = 383252^2 + 930236^2 .

It is not an unprimeable number, because it can be changed into a prime (1012221111203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568574 + ... + 1532226.

Almost surely, 2^{1012221111200} is an apocalyptic number.

1012221111200 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 1012221111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343759611068).

1012221111200 is an abundant number, since it is smaller than the sum of its proper divisors (1675298110936).

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

1012221111200 is a wasteful number, since it uses less digits than its factorization.

1012221111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963787 (or 963774 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012221111200 its reverse (21111222101), we get a palindrome (1033332333301).

The spelling of 1012221111200 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred eleven thousand, two hundred".