1220415134520 has 256 divisors, whose sum is σ = 3949197120000. Its totient is φ = 300583387136.

The previous prime is 1220415134509. The next prime is 1220415134527. The reversal of 1220415134520 is 254315140221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220415134527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71364931 + ... + 71382029.

It is an arithmetic number, because the mean of its divisors is an integer number (15426551250).

Almost surely, 2^{1220415134520} is an apocalyptic number.

1220415134520 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 1220415134520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974598560000).

1220415134520 is an abundant number, since it is smaller than the sum of its proper divisors (2728781985480).

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

1220415134520 is a wasteful number, since it uses less digits than its factorization.

1220415134520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17782 (or 17778 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1220415134520 in words is "one trillion, two hundred twenty billion, four hundred fifteen million, one hundred thirty-four thousand, five hundred twenty".