20213211114144 has 120 divisors (see below), whose sum is σ = 59485536522720. Its totient is φ = 6733311732864.

The previous prime is 20213211114121. The next prime is 20213211114199. The reversal of 20213211114144 is 44141111231202.

20213211114144 is a `hidden beast` number, since 2 + 0 + 2 + 132 + 1 + 111 + 414 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1387437 + ... + 6507795.

It is an arithmetic number, because the mean of its divisors is an integer number (495712804356).

Almost surely, 2^{20213211114144} is an apocalyptic number.

20213211114144 is a gapful number since it is divisible by the number (24) 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 20213211114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29742768261360).

20213211114144 is an abundant number, since it is smaller than the sum of its proper divisors (39272325408576).

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

20213211114144 is a wasteful number, since it uses less digits than its factorization.

20213211114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121904 (or 5121887 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 20213211114144 its reverse (44141111231202), we get a palindrome (64354322345346).

The spelling of 20213211114144 in words is "twenty trillion, two hundred thirteen billion, two hundred eleven million, one hundred fourteen thousand, one hundred forty-four".