1225837800 has 288 divisors, whose sum is σ = 4659389280. Its totient is φ = 297043200.

The previous prime is 1225837793. The next prime is 1225837813. The reversal of 1225837800 is 87385221.

1225837800 is a `hidden beast` number, since 1 + 2 + 2 + 583 + 78 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 533454 + ... + 535746.

It is an arithmetic number, because the mean of its divisors is an integer number (16178435).

Almost surely, 2^1225837800 is an apocalyptic number.

1225837800 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 1225837800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329694640).

1225837800 is an abundant number, since it is smaller than the sum of its proper divisors (3433551480).

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

1225837800 is a wasteful number, since it uses less digits than its factorization.

1225837800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1225837800 is about 35011.9665257466. The cubic root of 1225837800 is about 1070.2313530075.

The spelling of 1225837800 in words is "one billion, two hundred twenty-five million, eight hundred thirty-seven thousand, eight hundred".