1225109880 has 256 divisors, whose sum is σ = 4209408000. Its totient is φ = 316832256.

The previous prime is 1225109867. The next prime is 1225109887. The reversal of 1225109880 is 889015221.

It is a super-2 number, since 2×1225109880² = 3001788436147228800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225109887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7081474 + ... + 7081646.

It is an arithmetic number, because the mean of its divisors is an integer number (16443000).

Almost surely, 2^1225109880 is an apocalyptic number.

1225109880 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 1225109880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104704000).

1225109880 is an abundant number, since it is smaller than the sum of its proper divisors (2984298120).

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

1225109880 is a wasteful number, since it uses less digits than its factorization.

1225109880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1225109880 is about 35001.5696790873. The cubic root of 1225109880 is about 1070.0194715064.

The spelling of 1225109880 in words is "one billion, two hundred twenty-five million, one hundred nine thousand, eight hundred eighty".