2122012002 has 64 divisors (see below), whose sum is σ = 4718947968. Its totient is φ = 630720000.

The previous prime is 2122011973. The next prime is 2122012021. The reversal of 2122012002 is 2002102212.

It is an unprimeable number.

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, 2419188 + ... + 2420064.

It is an arithmetic number, because the mean of its divisors is an integer number (73733562).

Almost surely, 2^2122012002 is an apocalyptic number.

2122012002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359473984).

2122012002 is an abundant number, since it is smaller than the sum of its proper divisors (2596935966).

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

2122012002 is a wasteful number, since it uses less digits than its factorization.

2122012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555.

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

The square root of 2122012002 is about 46065.3014968968. The cubic root of 2122012002 is about 1285.0379256724.

Adding to 2122012002 its reverse (2002102212), we get a palindrome (4124114214).

The spelling of 2122012002 in words is "two billion, one hundred twenty-two million, twelve thousand, two".