1022211012000 has 192 divisors, whose sum is σ = 3349489014144. Its totient is φ = 272530534400.

The previous prime is 1022211011981. The next prime is 1022211012037. The reversal of 1022211012000 is 2101122201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109639339 + ... + 109648661.

It is an arithmetic number, because the mean of its divisors is an integer number (17445255282).

Almost surely, 2^{1022211012000} is an apocalyptic number.

1022211012000 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 1022211012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674744507072).

1022211012000 is an abundant number, since it is smaller than the sum of its proper divisors (2327278002144).

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

1022211012000 is an equidigital number, since it uses as much as digits as its factorization.

1022211012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18488 (or 18470 counting only the distinct ones).

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

Adding to 1022211012000 its reverse (2101122201), we get a palindrome (1024312134201).

The spelling of 1022211012000 in words is "one trillion, twenty-two billion, two hundred eleven million, twelve thousand".