1071255120 has 160 divisors (see below), whose sum is σ = 3605019264. Its totient is φ = 261580800.

The previous prime is 1071255113. The next prime is 1071255149. The reversal of 1071255120 is 215521701.

It is a super-2 number, since 2×1071255120² = 2295175064252428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407410 + ... + 410030.

Almost surely, 2^1071255120 is an apocalyptic number.

1071255120 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 1071255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802509632).

1071255120 is an abundant number, since it is smaller than the sum of its proper divisors (2533764144).

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

1071255120 is a wasteful number, since it uses less digits than its factorization.

1071255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 1071255120 is about 32730.0339138229. The cubic root of 1071255120 is about 1023.2088870539.

Adding to 1071255120 its reverse (215521701), we get a palindrome (1286776821).

The spelling of 1071255120 in words is "one billion, seventy-one million, two hundred fifty-five thousand, one hundred twenty".