1011885120 has 168 divisors, whose sum is σ = 3528873816. Its totient is φ = 266084352.

The previous prime is 1011885103. The next prime is 1011885143. The reversal of 1011885120 is 215881101.

It can be written as a sum of positive squares in 4 ways, for example, as 220700736 + 791184384 = 14856^2 + 28128^2 .

It is a super-2 number, since 2×1011885120² = 2047822992154828800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207834 + ... + 212646.

Almost surely, 2^1011885120 is an apocalyptic number.

1011885120 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 1011885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764436908).

1011885120 is an abundant number, since it is smaller than the sum of its proper divisors (2516988696).

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

1011885120 is a wasteful number, since it uses less digits than its factorization.

1011885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 1011885120 is about 31810.1417789987. The cubic root of 1011885120 is about 1003.9461143654.

The spelling of 1011885120 in words is "one billion, eleven million, eight hundred eighty-five thousand, one hundred twenty".