1034201220 has 192 divisors, whose sum is σ = 3245647104. Its totient is φ = 244408320.

The previous prime is 1034201197. The next prime is 1034201227. The reversal of 1034201220 is 221024301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1034201220.

It is not an unprimeable number, because it can be changed into a prime (1034201227) by changing a digit.

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, 2334319 + ... + 2334761.

It is an arithmetic number, because the mean of its divisors is an integer number (16904412).

Almost surely, 2^1034201220 is an apocalyptic number.

1034201220 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 1034201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622823552).

1034201220 is an abundant number, since it is smaller than the sum of its proper divisors (2211445884).

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

1034201220 is a wasteful number, since it uses less digits than its factorization.

1034201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1034201220 is about 32158.9990515874. Note that the first 3 decimals coincide. The cubic root of 1034201220 is about 1011.2728519677.

Adding to 1034201220 its reverse (221024301), we get a palindrome (1255225521).

The spelling of 1034201220 in words is "one billion, thirty-four million, two hundred one thousand, two hundred twenty".