1225200 has 60 divisors (see below), whose sum is σ = 3928568. Its totient is φ = 326400.

The previous prime is 1225183. The next prime is 1225219. The reversal of 1225200 is 25221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1225200² = 3002230080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 690 + ... + 1710.

2^1225200 is an apocalyptic number.

1225200 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 1225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964284).

1225200 is an abundant number, since it is smaller than the sum of its proper divisors (2703368).

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

1225200 is a wasteful number, since it uses less digits than its factorization.

1225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1225200 is about 1106.8875281617. The cubic root of 1225200 is about 107.0045708008.

The spelling of 1225200 in words is "one million, two hundred twenty-five thousand, two hundred".