20011122000 has 240 divisors, whose sum is σ = 70024893120. Its totient is φ = 5326176000.

The previous prime is 20011121987. The next prime is 20011122011. The reversal of 20011122000 is 22111002.

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 a congruent number.

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, 18341455 + ... + 18342545.

It is an arithmetic number, because the mean of its divisors is an integer number (291770388).

Almost surely, 2^20011122000 is an apocalyptic number.

20011122000 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 20011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35012446560).

20011122000 is an abundant number, since it is smaller than the sum of its proper divisors (50013771120).

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

20011122000 is a wasteful number, since it uses less digits than its factorization.

20011122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2120 counting only the distinct ones).

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

Adding to 20011122000 its reverse (22111002), we get a palindrome (20033233002).

It can be divided in two parts, 200111 and 22000, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 20011122000 in words is "twenty billion, eleven million, one hundred twenty-two thousand".