1249420032 has 576 divisors, whose sum is σ = 4709376000. Its totient is φ = 325140480.

The previous prime is 1249420027. The next prime is 1249420091. The reversal of 1249420032 is 2300249421.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1249420032² = 3122100832725762048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1249419978 and 1249420005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40303857 + ... + 40303887.

It is an arithmetic number, because the mean of its divisors is an integer number (8176000).

Almost surely, 2^1249420032 is an apocalyptic number.

1249420032 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 1249420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354688000).

1249420032 is an abundant number, since it is smaller than the sum of its proper divisors (3459955968).

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

1249420032 is an equidigital number, since it uses as much as digits as its factorization.

1249420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1249420032 is about 35347.1361216153. The cubic root of 1249420032 is about 1077.0507188194.

Adding to 1249420032 its reverse (2300249421), we get a palindrome (3549669453).

The spelling of 1249420032 in words is "one billion, two hundred forty-nine million, four hundred twenty thousand, thirty-two".