11311122420 has 192 divisors, whose sum is σ = 37984800000. Its totient is φ = 2777836032.

The previous prime is 11311122371. The next prime is 11311122439. The reversal of 11311122420 is 2422111311.

11311122420 is a `hidden beast` number, since 1 + 131 + 112 + 2 + 420 = 666.

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 = 11311122393 and 11311122402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3501366 + ... + 3504594.

It is an arithmetic number, because the mean of its divisors is an integer number (197837500).

Almost surely, 2^11311122420 is an apocalyptic number.

11311122420 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 11311122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992400000).

11311122420 is an abundant number, since it is smaller than the sum of its proper divisors (26673677580).

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

11311122420 is a wasteful number, since it uses less digits than its factorization.

11311122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11311122420 its reverse (2422111311), we get a palindrome (13733233731).

It can be divided in two parts, 113111 and 22420, that added together give a palindrome (135531).

The spelling of 11311122420 in words is "eleven billion, three hundred eleven million, one hundred twenty-two thousand, four hundred twenty".