2123220313872 has 240 divisors, whose sum is σ = 6807018965760. Its totient is φ = 605199817728.

The previous prime is 2123220313829. The next prime is 2123220313883. The reversal of 2123220313872 is 2783130223212.

2123220313872 is a `hidden beast` number, since 2 + 1 + 23 + 220 + 31 + 387 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376033133 + ... + 1376034675.

It is an arithmetic number, because the mean of its divisors is an integer number (28362579024).

Almost surely, 2^{2123220313872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123220313872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403509482880).

2123220313872 is an abundant number, since it is smaller than the sum of its proper divisors (4683798651888).

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

2123220313872 is a wasteful number, since it uses less digits than its factorization.

2123220313872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2123220313872 in words is "two trillion, one hundred twenty-three billion, two hundred twenty million, three hundred thirteen thousand, eight hundred seventy-two".