1251178272 has 192 divisors, whose sum is σ = 3870720000. Its totient is φ = 392097024.

The previous prime is 1251178237. The next prime is 1251178283. The reversal of 1251178272 is 2728711521.

1251178272 is a `hidden beast` number, since 1 + 2 + 511 + 78 + 2 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3266593 + ... + 3266975.

It is an arithmetic number, because the mean of its divisors is an integer number (20160000).

Almost surely, 2^1251178272 is an apocalyptic number.

1251178272 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 1251178272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360000).

1251178272 is an abundant number, since it is smaller than the sum of its proper divisors (2619541728).

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

1251178272 is a wasteful number, since it uses less digits than its factorization.

1251178272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 606 counting only the distinct ones).

The product of its digits is 15680, while the sum is 36.

The square root of 1251178272 is about 35371.9984168268. The cubic root of 1251178272 is about 1077.5557067324. Note that the first 3 decimals are identical.

Adding to 1251178272 its reverse (2728711521), we get a palindrome (3979889793).

The spelling of 1251178272 in words is "one billion, two hundred fifty-one million, one hundred seventy-eight thousand, two hundred seventy-two".