1225542120 has 256 divisors, whose sum is σ = 4302305280. Its totient is φ = 276249600.

The previous prime is 1225542119. The next prime is 1225542139. The reversal of 1225542120 is 212455221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122775 + ... + 1123865.

It is an arithmetic number, because the mean of its divisors is an integer number (16805880).

Almost surely, 2^1225542120 is an apocalyptic number.

1225542120 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 1225542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151152640).

1225542120 is an abundant number, since it is smaller than the sum of its proper divisors (3076763160).

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

1225542120 is a wasteful number, since it uses less digits than its factorization.

1225542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1225542120 is about 35007.7437147840. The cubic root of 1225542120 is about 1070.1452971816.

Adding to 1225542120 its reverse (212455221), we get a palindrome (1437997341).

It can be divided in two parts, 1225 and 542120, that added together give a palindrome (543345).

The spelling of 1225542120 in words is "one billion, two hundred twenty-five million, five hundred forty-two thousand, one hundred twenty".