1020222112000 has 288 divisors, whose sum is σ = 3128009923584. Its totient is φ = 322882560000.

The previous prime is 1020222111871. The next prime is 1020222112001. The reversal of 1020222112000 is 2112220201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1020222112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2736825 + ... + 3087175.

It is an arithmetic number, because the mean of its divisors is an integer number (10861145568).

Almost surely, 2^{1020222112000} is an apocalyptic number.

1020222112000 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 1020222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564004961792).

1020222112000 is an abundant number, since it is smaller than the sum of its proper divisors (2107787811584).

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

1020222112000 is an equidigital number, since it uses as much as digits as its factorization.

1020222112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350402 (or 350378 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020222112000 its reverse (2112220201), we get a palindrome (1022334332201).

The spelling of 1020222112000 in words is "one trillion, twenty billion, two hundred twenty-two million, one hundred twelve thousand".