2111122000 has 80 divisors (see below), whose sum is σ = 5497429392. Its totient is φ = 779481600.

The previous prime is 2111121989. The next prime is 2111122003. The reversal of 2111122000 is 2211112.

It can be written as a sum of positive squares in 8 ways, for example, as 968952384 + 1142169616 = 31128^2 + 33796^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111122003) 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, 14599 + ... + 66598.

Almost surely, 2^2111122000 is an apocalyptic number.

2111122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111122000 is an abundant number, since it is smaller than the sum of its proper divisors (3386307392).

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

2111122000 is a wasteful number, since it uses less digits than its factorization.

2111122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81233 (or 81217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2111122000 is about 45946.9476679355. The cubic root of 2111122000 is about 1282.8359159956.

Adding to 2111122000 its reverse (2211112), we get a palindrome (2113333112).

It can be divided in two parts, 211 and 1122000, that added together give a palindrome (1122211).

The spelling of 2111122000 in words is "two billion, one hundred eleven million, one hundred twenty-two thousand".