1263213120 has 224 divisors, whose sum is σ = 4358688768. Its totient is φ = 308109312.

The previous prime is 1263213103. The next prime is 1263213121. The reversal of 1263213120 is 213123621.

It is not an unprimeable number, because it can be changed into a prime (1263213121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584562 + ... + 1585358.

It is an arithmetic number, because the mean of its divisors is an integer number (19458432).

Almost surely, 2^1263213120 is an apocalyptic number.

1263213120 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 1263213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179344384).

1263213120 is an abundant number, since it is smaller than the sum of its proper divisors (3095475648).

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

1263213120 is a wasteful number, since it uses less digits than its factorization.

1263213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1263213120 is about 35541.7095818420. The cubic root of 1263213120 is about 1080.9996231831. Note that the first 3 decimals are identical.

Adding to 1263213120 its reverse (213123621), we get a palindrome (1476336741).

It can be divided in two parts, 12632 and 13120, that added together give a palindrome (25752).

The spelling of 1263213120 in words is "one billion, two hundred sixty-three million, two hundred thirteen thousand, one hundred twenty".