1448100501120 has 1536 divisors, whose sum is σ = 6436248698880. Its totient is φ = 291864674304.

The previous prime is 1448100501103. The next prime is 1448100501137. The reversal of 1448100501120 is 211050018441.

It is a happy number.

1448100501120 is a `hidden beast` number, since 1 + 4 + 48 + 100 + 501 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1448100501103) and next prime (1448100501137).

It is a super-2 number, since 2×1448100501120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1059326677 + ... + 1059328043.

It is an arithmetic number, because the mean of its divisors is an integer number (4190266080).

Almost surely, 2^{1448100501120} is an apocalyptic number.

1448100501120 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 1448100501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218124349440).

1448100501120 is an abundant number, since it is smaller than the sum of its proper divisors (4988148197760).

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

1448100501120 is a wasteful number, since it uses less digits than its factorization.

1448100501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 1448100501120 its reverse (211050018441), we get a palindrome (1659150519561).

The spelling of 1448100501120 in words is "one trillion, four hundred forty-eight billion, one hundred million, five hundred one thousand, one hundred twenty".