2140122000 has 160 divisors (see below), whose sum is σ = 7263285120. Its totient is φ = 540633600.

The previous prime is 2140121989. The next prime is 2140122001. The reversal of 2140122000 is 2210412.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2140122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104614 + ... + 123386.

It is an arithmetic number, because the mean of its divisors is an integer number (45395532).

Almost surely, 2^2140122000 is an apocalyptic number.

2140122000 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 2140122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631642560).

2140122000 is an abundant number, since it is smaller than the sum of its proper divisors (5123163120).

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

2140122000 is a wasteful number, since it uses less digits than its factorization.

2140122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18818 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2140122000 is about 46261.4526360770. The cubic root of 2140122000 is about 1288.6832306074.

Adding to 2140122000 its reverse (2210412), we get a palindrome (2142332412).

The spelling of 2140122000 in words is "two billion, one hundred forty million, one hundred twenty-two thousand".