1215226800 has 150 divisors (see below), whose sum is σ = 4361467748. Its totient is φ = 324051840.

The previous prime is 1215226799. The next prime is 1215226801. The reversal of 1215226800 is 86225121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1215226799) and next prime (1215226801).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1215226801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13647 + ... + 51153.

Almost surely, 2^1215226800 is an apocalyptic number.

1215226800 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 1215226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180733874).

1215226800 is an abundant number, since it is smaller than the sum of its proper divisors (3146240948).

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

1215226800 is a wasteful number, since it uses less digits than its factorization.

1215226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37537 (or 37517 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1215226800 is about 34860.1032700708. The cubic root of 1215226800 is about 1067.1343825579.

The spelling of 1215226800 in words is "one billion, two hundred fifteen million, two hundred twenty-six thousand, eight hundred".