1220415105 has 64 divisors (see below), whose sum is σ = 2442843648. Its totient is φ = 506511360.

The previous prime is 1220415073. The next prime is 1220415127. The reversal of 1220415105 is 5015140221.

It is not a de Polignac number, because 1220415105 - 2⁵ = 1220415073 is a prime.

It is a super-2 number, since 2×1220415105² = 2978826057024322050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75937 + ... + 90593.

It is an arithmetic number, because the mean of its divisors is an integer number (38169432).

Almost surely, 2^1220415105 is an apocalyptic number.

1220415105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1220415105 is an abundant number, since it is smaller than the sum of its proper divisors (1222428543).

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

1220415105 is a wasteful number, since it uses less digits than its factorization.

1220415105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14746.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1220415105 is about 34934.4400985618. The cubic root of 1220415105 is about 1068.6509054868.

Adding to 1220415105 its reverse (5015140221), we get a palindrome (6235555326).

The spelling of 1220415105 in words is "one billion, two hundred twenty million, four hundred fifteen thousand, one hundred five".