1215129600 has 360 divisors, whose sum is σ = 4515941430. Its totient is φ = 322928640.

The previous prime is 1215129581. The next prime is 1215129613. The reversal of 1215129600 is 69215121.

1215129600 is a `hidden beast` number, since 1 + 2 + 1 + 51 + 2 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1135420416 + 79709184 = 33696^2 + 8928^2 .

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4147054 + ... + 4147346.

Almost surely, 2^1215129600 is an apocalyptic number.

1215129600 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 1215129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257970715).

1215129600 is an abundant number, since it is smaller than the sum of its proper divisors (3300811830).

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

1215129600 is an equidigital number, since it uses as much as digits as its factorization.

1215129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1215129600 is about 34858.7090983014. The cubic root of 1215129600 is about 1067.1059301934.

It can be divided in two parts, 1215 and 129600, that multiplied together give a cube (157464000 = 540³).

The spelling of 1215129600 in words is "one billion, two hundred fifteen million, one hundred twenty-nine thousand, six hundred".