1261102144 has 63 divisors (see below), whose sum is σ = 2629659333. Its totient is φ = 600010752.

The previous prime is 1261102133. The next prime is 1261102147. The reversal of 1261102144 is 4412011621.

The square root of 1261102144 is 35512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 305550400 + 955551744 = 17480^2 + 30912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1261102147) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6534112 + ... + 6534304.

Almost surely, 2^1261102144 is an apocalyptic number.

1261102144 is the 35512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1261102144

1261102144 is an abundant number, since it is smaller than the sum of its proper divisors (1368557189).

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

1261102144 is an frugal number, since it uses more digits than its factorization.

1261102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The cubic root of 1261102144 is about 1080.3971287588.

Adding to 1261102144 its reverse (4412011621), we get a palindrome (5673113765).

The spelling of 1261102144 in words is "one billion, two hundred sixty-one million, one hundred two thousand, one hundred forty-four".