1261077120 has 512 divisors, whose sum is σ = 4935168000. Its totient is φ = 302911488.

The previous prime is 1261077113. The next prime is 1261077127. The reversal of 1261077120 is 217701621.

It is an interprime number because it is at equal distance from previous prime (1261077113) and next prime (1261077127).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1261077127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7551277 + ... + 7551443.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2^1261077120 is an apocalyptic number.

1261077120 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 1261077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584000).

1261077120 is an abundant number, since it is smaller than the sum of its proper divisors (3674090880).

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

1261077120 is a wasteful number, since it uses less digits than its factorization.

1261077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1261077120 is about 35511.6476666459. The cubic root of 1261077120 is about 1080.3899826191.

Adding to 1261077120 its reverse (217701621), we get a palindrome (1478778741).

The spelling of 1261077120 in words is "one billion, two hundred sixty-one million, seventy-seven thousand, one hundred twenty".