1220113442430 has 144 divisors (see below), whose sum is σ = 3360799110240. Its totient is φ = 307065022848.

The previous prime is 1220113442399. The next prime is 1220113442477. The reversal of 1220113442430 is 342443110221.

1220113442430 is a `hidden beast` number, since 1 + 2 + 201 + 1 + 3 + 4 + 424 + 30 = 666.

It is a super-3 number, since 3×1220113442430³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1220113442394 and 1220113442403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8473476 + ... + 8616264.

It is an arithmetic number, because the mean of its divisors is an integer number (23338882710).

Almost surely, 2^{1220113442430} is an apocalyptic number.

1220113442430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220113442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680399555120).

1220113442430 is an abundant number, since it is smaller than the sum of its proper divisors (2140685667810).

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

1220113442430 is a wasteful number, since it uses less digits than its factorization.

1220113442430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143103 (or 143081 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1220113442430 its reverse (342443110221), we get a palindrome (1562556552651).

The spelling of 1220113442430 in words is "one trillion, two hundred twenty billion, one hundred thirteen million, four hundred forty-two thousand, four hundred thirty".