1254231120 has 80 divisors (see below), whose sum is σ = 3899214720. Its totient is φ = 333507072.

The previous prime is 1254231113. The next prime is 1254231127. The reversal of 1254231120 is 211324521.

It is an interprime number because it is at equal distance from previous prime (1254231113) and next prime (1254231127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254231127) 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, 78882 + ... + 93438.

It is an arithmetic number, because the mean of its divisors is an integer number (48740184).

Almost surely, 2^1254231120 is an apocalyptic number.

1254231120 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 1254231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949607360).

1254231120 is an abundant number, since it is smaller than the sum of its proper divisors (2644983600).

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

1254231120 is a wasteful number, since it uses less digits than its factorization.

1254231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14932 (or 14926 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1254231120 is about 35415.1255821577. The cubic root of 1254231120 is about 1078.4313991230.

Adding to 1254231120 its reverse (211324521), we get a palindrome (1465555641).

The spelling of 1254231120 in words is "one billion, two hundred fifty-four million, two hundred thirty-one thousand, one hundred twenty".