1020222120000 has 280 divisors, whose sum is σ = 3377385590656. Its totient is φ = 271713024000.

The previous prime is 1020222119957. The next prime is 1020222120019. The reversal of 1020222120000 is 212220201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102355017 + ... + 102364983.

Almost surely, 2^{1020222120000} is an apocalyptic number.

1020222120000 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 1020222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688692795328).

1020222120000 is an abundant number, since it is smaller than the sum of its proper divisors (2357163470656).

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

1020222120000 is an frugal number, since it uses more digits than its factorization.

1020222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10855 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020222120000 its reverse (212220201), we get a palindrome (1020434340201).

The spelling of 1020222120000 in words is "one trillion, twenty billion, two hundred twenty-two million, one hundred twenty thousand".