2120211301338 has 192 divisors, whose sum is σ = 5225051018880. Its totient is φ = 636650606592.

The previous prime is 2120211301237. The next prime is 2120211301339. The reversal of 2120211301338 is 8331031120212.

2120211301338 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 21 + 1 + 301 + 338 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2120211301339) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 829177956 + ... + 829180512.

It is an arithmetic number, because the mean of its divisors is an integer number (27213807390).

Almost surely, 2^{2120211301338} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120211301338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612525509440).

2120211301338 is an abundant number, since it is smaller than the sum of its proper divisors (3104839717542).

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

2120211301338 is a wasteful number, since it uses less digits than its factorization.

2120211301338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2120211301338 in words is "two trillion, one hundred twenty billion, two hundred eleven million, three hundred one thousand, three hundred thirty-eight".