1020212112000 has 256 divisors, whose sum is σ = 3498628723200. Its totient is φ = 262674944000.

The previous prime is 1020212111987. The next prime is 1020212112011. The reversal of 1020212112000 is 2112120201.

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 31 ways as a sum of consecutive naturals, for example, 1025545 + ... + 1758455.

It is an arithmetic number, because the mean of its divisors is an integer number (13666518450).

Almost surely, 2^{1020212112000} is an apocalyptic number.

1020212112000 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 1020212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749314361600).

1020212112000 is an abundant number, since it is smaller than the sum of its proper divisors (2478416611200).

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

1020212112000 is an equidigital number, since it uses as much as digits as its factorization.

1020212112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732972 (or 732950 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020212112000 its reverse (2112120201), we get a palindrome (1022324232201).

The spelling of 1020212112000 in words is "one trillion, twenty billion, two hundred twelve million, one hundred twelve thousand".