1225797120 has 240 divisors, whose sum is σ = 4303130832. Its totient is φ = 322437120.

The previous prime is 1225797119. The next prime is 1225797149. The reversal of 1225797120 is 217975221.

1225797120 is a `hidden beast` number, since 12 + 2 + 579 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1912000 + ... + 1912640.

Almost surely, 2^1225797120 is an apocalyptic number.

1225797120 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 1225797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151565416).

1225797120 is an abundant number, since it is smaller than the sum of its proper divisors (3077333712).

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

1225797120 is an equidigital number, since it uses as much as digits as its factorization.

1225797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1225797120 is about 35011.3855766949. The cubic root of 1225797120 is about 1070.2195141674.

The spelling of 1225797120 in words is "one billion, two hundred twenty-five million, seven hundred ninety-seven thousand, one hundred twenty".