2211220011000 has 1536 divisors, whose sum is σ = 9686640337920. Its totient is φ = 412521984000.

The previous prime is 2211220010977. The next prime is 2211220011029. The reversal of 2211220011000 is 1100221122.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 777775579 + ... + 777778421.

It is an arithmetic number, because the mean of its divisors is an integer number (6306406470).

Almost surely, 2^{2211220011000} is an apocalyptic number.

2211220011000 is a gapful number since it is divisible by the number (20) 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 2211220011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843320168960).

2211220011000 is an abundant number, since it is smaller than the sum of its proper divisors (7475420326920).

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

2211220011000 is a wasteful number, since it uses less digits than its factorization.

2211220011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2921 counting only the distinct ones).

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

Adding to 2211220011000 its reverse (1100221122), we get a palindrome (2212320232122).

The spelling of 2211220011000 in words is "two trillion, two hundred eleven billion, two hundred twenty million, eleven thousand".