1215081600 has 192 divisors, whose sum is σ = 4088845440. Its totient is φ = 317009920.

The previous prime is 1215081599. The next prime is 1215081607. The reversal of 1215081600 is 61805121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1215081607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 449854 + ... + 452546.

It is an arithmetic number, because the mean of its divisors is an integer number (21296070).

Almost surely, 2^1215081600 is an apocalyptic number.

1215081600 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 1215081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044422720).

1215081600 is an abundant number, since it is smaller than the sum of its proper divisors (2873763840).

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

1215081600 is a wasteful number, since it uses less digits than its factorization.

1215081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1215081600 is about 34858.0205978481. The cubic root of 1215081600 is about 1067.0918790833.

Adding to 1215081600 its reverse (61805121), we get a palindrome (1276886721).

The spelling of 1215081600 in words is "one billion, two hundred fifteen million, eighty-one thousand, six hundred".