2121322002120 has 160 divisors (see below), whose sum is σ = 7135570221120. Its totient is φ = 565243850880.

The previous prime is 2121322002109. The next prime is 2121322002139. The reversal of 2121322002120 is 212002231212.

2121322002120 is a `hidden beast` number, since 21 + 213 + 220 + 0 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121322002093 and 2121322002102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3901765 + ... + 4412075.

It is an arithmetic number, because the mean of its divisors is an integer number (44597313882).

Almost surely, 2^{2121322002120} is an apocalyptic number.

2121322002120 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 2121322002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567785110560).

2121322002120 is an abundant number, since it is smaller than the sum of its proper divisors (5014248219000).

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

2121322002120 is a wasteful number, since it uses less digits than its factorization.

2121322002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511617 (or 511604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2121322002120 its reverse (212002231212), we get a palindrome (2333324233332).

The spelling of 2121322002120 in words is "two trillion, one hundred twenty-one billion, three hundred twenty-two million, two thousand, one hundred twenty".