2121122000 has 80 divisors (see below), whose sum is σ = 5398910400. Its totient is φ = 803779200.

The previous prime is 2121121969. The next prime is 2121122009. The reversal of 2121122000 is 2211212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121122009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10091 + ... + 65909.

It is an arithmetic number, because the mean of its divisors is an integer number (67486380).

Almost surely, 2^2121122000 is an apocalyptic number.

2121122000 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 2121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699455200).

2121122000 is an abundant number, since it is smaller than the sum of its proper divisors (3277788400).

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

2121122000 is a wasteful number, since it uses less digits than its factorization.

2121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55861 (or 55845 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2121122000 is about 46055.6402626215. The cubic root of 2121122000 is about 1284.8582461586.

Adding to 2121122000 its reverse (2211212), we get a palindrome (2123333212).

The spelling of 2121122000 in words is "two billion, one hundred twenty-one million, one hundred twenty-two thousand".