1215200 has 108 divisors (see below), whose sum is σ = 3562272. Its totient is φ = 403200.

The previous prime is 1215197. The next prime is 1215209. The reversal of 1215200 is 25121.

1215200 = T₁₉₅ + T₁₉₆ + ... + T₂₄₄.

It is a super-2 number, since 2×1215200² = 2953422080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39185 + ... + 39215.

It is an arithmetic number, because the mean of its divisors is an integer number (32984).

2^1215200 is an apocalyptic number.

1215200 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 1215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136).

1215200 is an abundant number, since it is smaller than the sum of its proper divisors (2347072).

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

1215200 is a wasteful number, since it uses less digits than its factorization.

1215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1215200 is about 1102.3611023617. The cubic root of 1215200 is about 106.7126537819.

The spelling of 1215200 in words is "one million, two hundred fifteen thousand, two hundred".