11222100000 has 432 divisors, whose sum is σ = 41088135816. Its totient is φ = 2903040000.

The previous prime is 11222099971. The next prime is 11222100023. The reversal of 11222100000 is 122211.

It can be written as a sum of positive squares in 12 ways, for example, as 3997779984 + 7224320016 = 63228^2 + 84996^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33299832 + ... + 33300168.

Almost surely, 2^11222100000 is an apocalyptic number.

11222100000 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 11222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20544067908).

11222100000 is an abundant number, since it is smaller than the sum of its proper divisors (29866035816).

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

11222100000 is an equidigital number, since it uses as much as digits as its factorization.

11222100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 384 counting only the distinct ones).

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

Adding to 11222100000 its reverse (122211), we get a palindrome (11222222211).

The spelling of 11222100000 in words is "eleven billion, two hundred twenty-two million, one hundred thousand".