11123211321000 has 192 divisors, whose sum is σ = 38612575806480. Its totient is φ = 2886022310400.

The previous prime is 11123211320999. The next prime is 11123211321023. The reversal of 11123211321000 is 12311232111.

11123211321000 is a `hidden beast` number, since 1 + 112 + 321 + 132 + 100 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5121015117156 + 6002196203844 = 2262966^2 + 2449938^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16368519 + ... + 17034518.

Almost surely, 2^{11123211321000} is an apocalyptic number.

11123211321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123211321000 is an abundant number, since it is smaller than the sum of its proper divisors (27489364485480).

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

11123211321000 is a wasteful number, since it uses less digits than its factorization.

11123211321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33403101 (or 33403084 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11123211321000 its reverse (12311232111), we get a palindrome (11135522553111).

The spelling of 11123211321000 in words is "eleven trillion, one hundred twenty-three billion, two hundred eleven million, three hundred twenty-one thousand".