2122120201638 has 32 divisors (see below), whose sum is σ = 4251121670880. Its totient is φ = 706226826240.

The previous prime is 2122120201637. The next prime is 2122120201639. The reversal of 2122120201638 is 8361020212212.

It is an interprime number because it is at equal distance from previous prime (2122120201637) and next prime (2122120201639).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122120201637) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31410198 + ... + 31477686.

It is an arithmetic number, because the mean of its divisors is an integer number (132847552215).

Almost surely, 2^{2122120201638} is an apocalyptic number.

2122120201638 is an abundant number, since it is smaller than the sum of its proper divisors (2129001469242).

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

2122120201638 is a wasteful number, since it uses less digits than its factorization.

2122120201638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75912.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 2122120201638 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred one thousand, six hundred thirty-eight".