1261127120 has 80 divisors (see below), whose sum is σ = 3301931520. Its totient is φ = 443788800.

The previous prime is 1261127113. The next prime is 1261127141. The reversal of 1261127120 is 217211621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1261127120² = 3180883225598988800, which contains 22 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, 4166 + ... + 50394.

It is an arithmetic number, because the mean of its divisors is an integer number (41274144).

Almost surely, 2^1261127120 is an apocalyptic number.

1261127120 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 1261127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650965760).

1261127120 is an abundant number, since it is smaller than the sum of its proper divisors (2040804400).

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

1261127120 is a wasteful number, since it uses less digits than its factorization.

1261127120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46284 (or 46278 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 1261127120 is about 35512.3516540372. The cubic root of 1261127120 is about 1080.4042610969.

Adding to 1261127120 its reverse (217211621), we get a palindrome (1478338741).

The spelling of 1261127120 in words is "one billion, two hundred sixty-one million, one hundred twenty-seven thousand, one hundred twenty".