1415201220 has 120 divisors (see below), whose sum is σ = 4512633048. Its totient is φ = 371174400.

The previous prime is 1415201209. The next prime is 1415201237. The reversal of 1415201220 is 221025141.

1415201220 is a `hidden beast` number, since 141 + 520 + 1 + 2 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 139854276 + 1275346944 = 11826^2 + 35712^2 .

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 = 1415201193 and 1415201202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91660 + ... + 105980.

Almost surely, 2^1415201220 is an apocalyptic number.

1415201220 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 1415201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256316524).

1415201220 is an abundant number, since it is smaller than the sum of its proper divisors (3097431828).

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

1415201220 is a wasteful number, since it uses less digits than its factorization.

1415201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14403 (or 14392 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1415201220 is about 37619.1602777095. The cubic root of 1415201220 is about 1122.7232889631.

Adding to 1415201220 its reverse (221025141), we get a palindrome (1636226361).

The spelling of 1415201220 in words is "one billion, four hundred fifteen million, two hundred one thousand, two hundred twenty".