20111304333120 has 1344 divisors, whose sum is σ = 88719112140288. Its totient is φ = 3753182822400.

The previous prime is 20111304333103. The next prime is 20111304333233. The reversal of 20111304333120 is 2133340311102.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 391085010 + ... + 391136430.

It is an arithmetic number, because the mean of its divisors is an integer number (66011244152).

Almost surely, 2^{20111304333120} is an apocalyptic number.

20111304333120 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 20111304333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44359556070144).

20111304333120 is an abundant number, since it is smaller than the sum of its proper divisors (68607807807168).

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

20111304333120 is a wasteful number, since it uses less digits than its factorization.

20111304333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51520 (or 51499 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 20111304333120 its reverse (2133340311102), we get a palindrome (22244644644222).

The spelling of 20111304333120 in words is "twenty trillion, one hundred eleven billion, three hundred four million, three hundred thirty-three thousand, one hundred twenty".