1012032221200 has 720 divisors, whose sum is σ = 3437699348160. Its totient is φ = 281111040000.

The previous prime is 1012032221177. The next prime is 1012032221201. The reversal of 1012032221200 is 21222302101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1012032221201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81274975 + ... + 81287425.

It is an arithmetic number, because the mean of its divisors is an integer number (4774582428).

Almost surely, 2^{1012032221200} is an apocalyptic number.

1012032221200 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 1012032221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718849674080).

1012032221200 is an abundant number, since it is smaller than the sum of its proper divisors (2425667126960).

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

1012032221200 is a wasteful number, since it uses less digits than its factorization.

1012032221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12536 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1012032221200 its reverse (21222302101), we get a palindrome (1033254523301).

The spelling of 1012032221200 in words is "one trillion, twelve billion, thirty-two million, two hundred twenty-one thousand, two hundred".