2120011411104 has 120 divisors (see below), whose sum is σ = 6239944443348. Its totient is φ = 706098124800.

The previous prime is 2120011411073. The next prime is 2120011411153. The reversal of 2120011411104 is 4011141100212.

It can be written as a sum of positive squares in 2 ways, for example, as 1865813938704 + 254197472400 = 1365948^2 + 504180^2 .

It is a super-2 number, since 2×2120011411104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2875704 + ... + 3536904.

Almost surely, 2^{2120011411104} is an apocalyptic number.

2120011411104 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 2120011411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119972221674).

2120011411104 is an abundant number, since it is smaller than the sum of its proper divisors (4119933032244).

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

2120011411104 is a wasteful number, since it uses less digits than its factorization.

2120011411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662460 (or 662443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2120011411104 its reverse (4011141100212), we get a palindrome (6131152511316).

The spelling of 2120011411104 in words is "two trillion, one hundred twenty billion, eleven million, four hundred eleven thousand, one hundred four".