1220412135204 has 240 divisors, whose sum is σ = 3354656659200. Its totient is φ = 386358336000.

The previous prime is 1220412135203. The next prime is 1220412135253. The reversal of 1220412135204 is 4025312140221.

1220412135204 is a `hidden beast` number, since 1 + 220 + 412 + 1 + 3 + 5 + 20 + 4 = 666.

It is a super-2 number, since 2×1220412135204² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1220412135203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 208578879 + ... + 208584729.

It is an arithmetic number, because the mean of its divisors is an integer number (13977736080).

Almost surely, 2^{1220412135204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220412135204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677328329600).

1220412135204 is an abundant number, since it is smaller than the sum of its proper divisors (2134244523996).

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

1220412135204 is a wasteful number, since it uses less digits than its factorization.

1220412135204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1220412135204 its reverse (4025312140221), we get a palindrome (5245724275425).

The spelling of 1220412135204 in words is "one trillion, two hundred twenty billion, four hundred twelve million, one hundred thirty-five thousand, two hundred four".