1123013300220 has 216 divisors, whose sum is σ = 3965461665984. Its totient is φ = 256505501952.

The previous prime is 1123013300207. The next prime is 1123013300237. The reversal of 1123013300220 is 220033103211.

1123013300220 is a `hidden beast` number, since 1 + 12 + 301 + 330 + 0 + 2 + 20 = 666.

It is a super-2 number, since 2×1123013300220² (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 a junction number, because it is equal to n+sod(n) for n = 1123013300193 and 1123013300202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12506122 + ... + 12595598.

It is an arithmetic number, because the mean of its divisors is an integer number (18358618824).

Almost surely, 2^{1123013300220} is an apocalyptic number.

1123013300220 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 1123013300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982730832992).

1123013300220 is an abundant number, since it is smaller than the sum of its proper divisors (2842448365764).

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

1123013300220 is a wasteful number, since it uses less digits than its factorization.

1123013300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90929 (or 90917 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1123013300220 its reverse (220033103211), we get a palindrome (1343046403431).

The spelling of 1123013300220 in words is "one trillion, one hundred twenty-three billion, thirteen million, three hundred thousand, two hundred twenty".