20122002000 has 120 divisors (see below), whose sum is σ = 70279508520. Its totient is φ = 5365862400.

The previous prime is 20122001989. The next prime is 20122002013. The reversal of 20122002000 is 20022102.

It can be written as a sum of positive squares in 4 ways, for example, as 3539774016 + 16582227984 = 59496^2 + 128772^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540945 + ... + 576944.

It is an arithmetic number, because the mean of its divisors is an integer number (585662571).

Almost surely, 2^20122002000 is an apocalyptic number.

20122002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122002000 is an abundant number, since it is smaller than the sum of its proper divisors (50157506520).

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

20122002000 is a wasteful number, since it uses less digits than its factorization.

20122002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117918 (or 1117899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20122002000 its reverse (20022102), we get a palindrome (20142024102).

The spelling of 20122002000 in words is "twenty billion, one hundred twenty-two million, two thousand".