2121302213120 has 160 divisors (see below), whose sum is σ = 5127448715136. Its totient is φ = 841641984000.

The previous prime is 2121302213099. The next prime is 2121302213123. The reversal of 2121302213120 is 213122031212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2121302213092 and 2121302213101.

It is not an unprimeable number, because it can be changed into a prime (2121302213123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831555845 + ... + 831558395.

Almost surely, 2^{2121302213120} is an apocalyptic number.

2121302213120 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 2121302213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563724357568).

2121302213120 is an abundant number, since it is smaller than the sum of its proper divisors (3006146502016).

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

2121302213120 is a wasteful number, since it uses less digits than its factorization.

2121302213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2121302213120 its reverse (213122031212), we get a palindrome (2334424244332).

The spelling of 2121302213120 in words is "two trillion, one hundred twenty-one billion, three hundred two million, two hundred thirteen thousand, one hundred twenty".