12011022000 has 240 divisors, whose sum is σ = 42642107040. Its totient is φ = 3150144000.

The previous prime is 12011021977. The next prime is 12011022031. The reversal of 12011022000 is 22011021.

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

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 47 ways as a sum of consecutive naturals, for example, 1092531 + ... + 1103469.

It is an arithmetic number, because the mean of its divisors is an integer number (177675446).

Almost surely, 2^12011022000 is an apocalyptic number.

12011022000 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 12011022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21321053520).

12011022000 is an abundant number, since it is smaller than the sum of its proper divisors (30631085040).

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

12011022000 is a wasteful number, since it uses less digits than its factorization.

12011022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11029 (or 11010 counting only the distinct ones).

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

Adding to 12011022000 its reverse (22011021), we get a palindrome (12033033021).

It can be divided in two parts, 1201 and 1022000, that added together give a palindrome (1023201).

The spelling of 12011022000 in words is "twelve billion, eleven million, twenty-two thousand".