1100014272 has 336 divisors, whose sum is σ = 3860962560. Its totient is φ = 292460544.

The previous prime is 1100014271. The next prime is 1100014301. The reversal of 1100014272 is 2724100011.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1100014271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6358378 + ... + 6358550.

It is an arithmetic number, because the mean of its divisors is an integer number (11490960).

Almost surely, 2^1100014272 is an apocalyptic number.

1100014272 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 1100014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930481280).

1100014272 is an abundant number, since it is smaller than the sum of its proper divisors (2760948288).

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

1100014272 is a wasteful number, since it uses less digits than its factorization.

1100014272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1100014272 is about 33166.4630613516. The cubic root of 1100014272 is about 1032.2845798922.

Adding to 1100014272 its reverse (2724100011), we get a palindrome (3824114283).

The spelling of 1100014272 in words is "one billion, one hundred million, fourteen thousand, two hundred seventy-two".