1249921152 has 128 divisors (see below), whose sum is σ = 3702355200. Its totient is φ = 415134720.

The previous prime is 1249921151. The next prime is 1249921163. The reversal of 1249921152 is 2511299421.

1249921152 is a `hidden beast` number, since 12 + 499 + 2 + 1 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1249921151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371577 + ... + 1372487.

It is an arithmetic number, because the mean of its divisors is an integer number (28924650).

Almost surely, 2^1249921152 is an apocalyptic number.

1249921152 is a gapful number since it is divisible by the number (12) 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 1249921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851177600).

1249921152 is an abundant number, since it is smaller than the sum of its proper divisors (2452434048).

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

1249921152 is an equidigital number, since it uses as much as digits as its factorization.

1249921152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1313 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1249921152 is about 35354.2239626328. The cubic root of 1249921152 is about 1077.1946948242.

The spelling of 1249921152 in words is "one billion, two hundred forty-nine million, nine hundred twenty-one thousand, one hundred fifty-two".