1225202784 has 288 divisors, whose sum is σ = 3812497920. Its totient is φ = 342171648.

The previous prime is 1225202777. The next prime is 1225202843. The reversal of 1225202784 is 4872025221.

It is a super-2 number, since 2×1225202784² = 3002243723842701312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15508857 + ... + 15508935.

It is an arithmetic number, because the mean of its divisors is an integer number (13237840).

Almost surely, 2^1225202784 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 1225202784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906248960).

1225202784 is an abundant number, since it is smaller than the sum of its proper divisors (2587295136).

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

1225202784 is a wasteful number, since it uses less digits than its factorization.

1225202784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 1225202784 is about 35002.8967944083. The cubic root of 1225202784 is about 1070.0465184888.

The spelling of 1225202784 in words is "one billion, two hundred twenty-five million, two hundred two thousand, seven hundred eighty-four".