1225205124 has 192 divisors, whose sum is σ = 3603640320. Its totient is φ = 318574080.

The previous prime is 1225205119. The next prime is 1225205129. The reversal of 1225205124 is 4215025221.

It is an interprime number because it is at equal distance from previous prime (1225205119) and next prime (1225205129).

It is a super-2 number, since 2×1225205124² = 3002255191751710752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1225205094 and 1225205103.

It is not an unprimeable number, because it can be changed into a prime (1225205129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1459897 + ... + 1460735.

It is an arithmetic number, because the mean of its divisors is an integer number (18768960).

Almost surely, 2^1225205124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225205124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801820160).

1225205124 is an abundant number, since it is smaller than the sum of its proper divisors (2378435196).

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

1225205124 is a wasteful number, since it uses less digits than its factorization.

1225205124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

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

The square root of 1225205124 is about 35002.9302201973. The cubic root of 1225205124 is about 1070.0471997114.

The spelling of 1225205124 in words is "one billion, two hundred twenty-five million, two hundred five thousand, one hundred twenty-four".