1306122240 has 384 divisors, whose sum is σ = 4606580160. Its totient is φ = 314572800.

The previous prime is 1306122221. The next prime is 1306122253. The reversal of 1306122240 is 422216031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21411810 + ... + 21411870.

Almost surely, 2^1306122240 is an apocalyptic number.

1306122240 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 1306122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303290080).

1306122240 is an abundant number, since it is smaller than the sum of its proper divisors (3300457920).

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

1306122240 is a wasteful number, since it uses less digits than its factorization.

1306122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1306122240 is about 36140.3132249846. The cubic root of 1306122240 is about 1093.1034747139.

Adding to 1306122240 its reverse (422216031), we get a palindrome (1728338271).

The spelling of 1306122240 in words is "one billion, three hundred six million, one hundred twenty-two thousand, two hundred forty".