1142721120 has 96 divisors (see below), whose sum is σ = 3632761440. Its totient is φ = 301916160.

The previous prime is 1142721091. The next prime is 1142721149. The reversal of 1142721120 is 211272411.

It is an interprime number because it is at equal distance from previous prime (1142721091) and next prime (1142721149).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41400 + ... + 63240.

It is an arithmetic number, because the mean of its divisors is an integer number (37841265).

Almost surely, 2^1142721120 is an apocalyptic number.

1142721120 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 1142721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816380720).

1142721120 is an abundant number, since it is smaller than the sum of its proper divisors (2490040320).

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

1142721120 is a wasteful number, since it uses less digits than its factorization.

1142721120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21968 (or 21960 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1142721120 is about 33804.1583240879. The cubic root of 1142721120 is about 1045.4744364022.

Adding to 1142721120 its reverse (211272411), we get a palindrome (1353993531).

The spelling of 1142721120 in words is "one billion, one hundred forty-two million, seven hundred twenty-one thousand, one hundred twenty".