1250133120 has 192 divisors, whose sum is σ = 4544467200. Its totient is φ = 315795456.

The previous prime is 1250133089. The next prime is 1250133121. The reversal of 1250133120 is 213310521.

1250133120 is a `hidden beast` number, since 12 + 501 + 33 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1250133093 and 1250133102.

It is not an unprimeable number, because it can be changed into a prime (1250133121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103729 + ... + 115151.

It is an arithmetic number, because the mean of its divisors is an integer number (23669100).

Almost surely, 2^1250133120 is an apocalyptic number.

1250133120 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 1250133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272233600).

1250133120 is an abundant number, since it is smaller than the sum of its proper divisors (3294334080).

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

1250133120 is a wasteful number, since it uses less digits than its factorization.

1250133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11467 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1250133120 is about 35357.2216103019. The cubic root of 1250133120 is about 1077.2555834380.

Adding to 1250133120 its reverse (213310521), we get a palindrome (1463443641).

The spelling of 1250133120 in words is "one billion, two hundred fifty million, one hundred thirty-three thousand, one hundred twenty".