1264221120 has 112 divisors (see below), whose sum is σ = 4022189568. Its totient is φ = 336430080.

The previous prime is 1264221109. The next prime is 1264221149. The reversal of 1264221120 is 211224621.

1264221120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1264221120³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604717 + ... + 606803.

Almost surely, 2^1264221120 is an apocalyptic number.

1264221120 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 1264221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011094784).

1264221120 is an abundant number, since it is smaller than the sum of its proper divisors (2757968448).

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

1264221120 is a wasteful number, since it uses less digits than its factorization.

1264221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1264221120 is about 35555.8872762304. The cubic root of 1264221120 is about 1081.2870800653.

Adding to 1264221120 its reverse (211224621), we get a palindrome (1475445741).

The spelling of 1264221120 in words is "one billion, two hundred sixty-four million, two hundred twenty-one thousand, one hundred twenty".