2122120000 has 560 divisors, whose sum is σ = 7198595712. Its totient is φ = 599040000.

The previous prime is 2122119913. The next prime is 2122120031. The reversal of 2122120000 is 212212.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 40039974 + ... + 40040026.

Almost surely, 2^2122120000 is an apocalyptic number.

2122120000 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 2122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599297856).

2122120000 is an abundant number, since it is smaller than the sum of its proper divisors (5076475712).

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

2122120000 is a wasteful number, since it uses less digits than its factorization.

2122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2122120000 is about 46066.4737091955. The cubic root of 2122120000 is about 1285.0597256074.

Adding to 2122120000 its reverse (212212), we get a palindrome (2122332212).

Multiplying 2122120000 by its reverse (212212), we get a square (450339329440000 = 21221200²).

2122120000 divided by its reverse (212212) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 212 and 2120000, that multiplied together give a square (449440000 = 21200²).

The spelling of 2122120000 in words is "two billion, one hundred twenty-two million, one hundred twenty thousand".