1000211220000 has 240 divisors, whose sum is σ = 3645438461280. Its totient is φ = 266722848000.

The previous prime is 1000211219999. The next prime is 1000211220007. The reversal of 1000211220000 is 221120001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1000211220000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000211220007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 386122 + ... + 1466121.

It is an arithmetic number, because the mean of its divisors is an integer number (15189326922).

Almost surely, 2^{1000211220000} is an apocalyptic number.

1000211220000 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 1000211220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822719230640).

1000211220000 is an abundant number, since it is smaller than the sum of its proper divisors (2645227241280).

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

1000211220000 is an equidigital number, since it uses as much as digits as its factorization.

1000211220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852282 (or 1852253 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000211220000 its reverse (221120001), we get a palindrome (1000432340001).

Subtracting from 1000211220000 its reverse (221120001), we obtain a palindrome (999990099999).

The spelling of 1000211220000 in words is "one trillion, two hundred eleven million, two hundred twenty thousand".