11034120420 has 288 divisors, whose sum is σ = 36121438080. Its totient is φ = 2718074880.

The previous prime is 11034120413. The next prime is 11034120451. The reversal of 11034120420 is 2402143011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11034120393 and 11034120402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47356624 + ... + 47356856.

It is an arithmetic number, because the mean of its divisors is an integer number (125421660).

Almost surely, 2^11034120420 is an apocalyptic number.

11034120420 is a gapful number since it is divisible by the number (10) 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 11034120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18060719040).

11034120420 is an abundant number, since it is smaller than the sum of its proper divisors (25087317660).

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

11034120420 is a wasteful number, since it uses less digits than its factorization.

11034120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11034120420 its reverse (2402143011), we get a palindrome (13436263431).

The spelling of 11034120420 in words is "eleven billion, thirty-four million, one hundred twenty thousand, four hundred twenty".