1011132720 has 240 divisors, whose sum is σ = 3793319712. Its totient is φ = 248832000.

The previous prime is 1011132719. The next prime is 1011132721. The reversal of 1011132720 is 272311101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1011132719) and next prime (1011132721).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1011132693 and 1011132702.

It is not an unprimeable number, because it can be changed into a prime (1011132721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250720 + ... + 254720.

Almost surely, 2^1011132720 is an apocalyptic number.

1011132720 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 1011132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896659856).

1011132720 is an abundant number, since it is smaller than the sum of its proper divisors (2782186992).

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

1011132720 is a wasteful number, since it uses less digits than its factorization.

1011132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1011132720 is about 31798.3131628079. The cubic root of 1011132720 is about 1003.6972203818.

Adding to 1011132720 its reverse (272311101), we get a palindrome (1283443821).

The spelling of 1011132720 in words is "one billion, eleven million, one hundred thirty-two thousand, seven hundred twenty".