1253112120 has 384 divisors, whose sum is σ = 4667120640. Its totient is φ = 300464640.

The previous prime is 1253112083. The next prime is 1253112173. The reversal of 1253112120 is 212113521.

1253112120 is a `hidden beast` number, since 1 + 2 + 531 + 12 + 120 = 666.

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 = 1253112093 and 1253112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5938815 + ... + 5939025.

It is an arithmetic number, because the mean of its divisors is an integer number (12153960).

Almost surely, 2^1253112120 is an apocalyptic number.

1253112120 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 1253112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333560320).

1253112120 is an abundant number, since it is smaller than the sum of its proper divisors (3414008520).

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

1253112120 is a wasteful number, since it uses less digits than its factorization.

1253112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1253112120 is about 35399.3237223538. The cubic root of 1253112120 is about 1078.1105853649.

Adding to 1253112120 its reverse (212113521), we get a palindrome (1465225641).

The spelling of 1253112120 in words is "one billion, two hundred fifty-three million, one hundred twelve thousand, one hundred twenty".