1001142720 has 112 divisors (see below), whose sum is σ = 3531839520. Its totient is φ = 266969088.

The previous prime is 1001142713. The next prime is 1001142721. The reversal of 1001142720 is 272411001.

1001142720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1001142693 and 1001142702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001142721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49297 + ... + 66576.

Almost surely, 2^1001142720 is an apocalyptic number.

1001142720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001142720 is an abundant number, since it is smaller than the sum of its proper divisors (2530696800).

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

1001142720 is a wasteful number, since it uses less digits than its factorization.

1001142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115899 (or 115883 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1001142720 is about 31640.8394326067. The cubic root of 1001142720 is about 1000.3807616688.

Adding to 1001142720 its reverse (272411001), we get a palindrome (1273553721).

The spelling of 1001142720 in words is "one billion, one million, one hundred forty-two thousand, seven hundred twenty".