1221334420 has 48 divisors (see below), whose sum is σ = 2679642000. Its totient is φ = 466995200.

The previous prime is 1221334393. The next prime is 1221334423. The reversal of 1221334420 is 244331221.

It can be written as a sum of positive squares in 8 ways, for example, as 268500996 + 952833424 = 16386^2 + 30868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1221334391 and 1221334400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221334423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48156 + ... + 69004.

It is an arithmetic number, because the mean of its divisors is an integer number (55825875).

Almost surely, 2^1221334420 is an apocalyptic number.

1221334420 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 1221334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339821000).

1221334420 is an abundant number, since it is smaller than the sum of its proper divisors (1458307580).

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

1221334420 is a wasteful number, since it uses less digits than its factorization.

1221334420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20988 (or 20986 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1221334420 is about 34947.5953393077. The cubic root of 1221334420 is about 1068.9191694639.

Adding to 1221334420 its reverse (244331221), we get a palindrome (1465665641).

The spelling of 1221334420 in words is "one billion, two hundred twenty-one million, three hundred thirty-four thousand, four hundred twenty".