1215361036800 has 360 divisors, whose sum is σ = 4352546458260. Its totient is φ = 323864985600.

The previous prime is 1215361036777. The next prime is 1215361036817. The reversal of 1215361036800 is 86301635121.

1215361036800 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 3 + 610 + 36 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20694548736 + 1194666488064 = 143856^2 + 1093008^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214384366 + ... + 214390034.

Almost surely, 2^{1215361036800} is an apocalyptic number.

1215361036800 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 1215361036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176273229130).

1215361036800 is an abundant number, since it is smaller than the sum of its proper divisors (3137185421460).

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

1215361036800 is a wasteful number, since it uses less digits than its factorization.

1215361036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1215361036800 in words is "one trillion, two hundred fifteen billion, three hundred sixty-one million, thirty-six thousand, eight hundred".