1254065120 has 192 divisors, whose sum is σ = 3725761536. Its totient is φ = 387502080.

The previous prime is 1254065101. The next prime is 1254065123. The reversal of 1254065120 is 215604521.

It is a super-2 number, since 2×1254065120² = 3145358650401228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1254065120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254065123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1687469 + ... + 1688211.

It is an arithmetic number, because the mean of its divisors is an integer number (19405008).

Almost surely, 2^1254065120 is an apocalyptic number.

1254065120 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 1254065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862880768).

1254065120 is an abundant number, since it is smaller than the sum of its proper divisors (2471696416).

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

1254065120 is a wasteful number, since it uses less digits than its factorization.

1254065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1254065120 is about 35412.7818732163. The cubic root of 1254065120 is about 1078.3838195056.

Adding to 1254065120 its reverse (215604521), we get a palindrome (1469669641).

The spelling of 1254065120 in words is "one billion, two hundred fifty-four million, sixty-five thousand, one hundred twenty".