1225105500 has 192 divisors, whose sum is σ = 3690086400. Its totient is φ = 315705600.

The previous prime is 1225105489. The next prime is 1225105513. The reversal of 1225105500 is 55015221.

It is a super-2 number, since 2×1225105500² = 3001766972260500000, 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 63 ways as a sum of consecutive naturals, for example, 9646437 + ... + 9646563.

It is an arithmetic number, because the mean of its divisors is an integer number (19219200).

Almost surely, 2^1225105500 is an apocalyptic number.

1225105500 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 1225105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845043200).

1225105500 is an abundant number, since it is smaller than the sum of its proper divisors (2464980900).

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

1225105500 is a wasteful number, since it uses less digits than its factorization.

1225105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 1225105500 is about 35001.5071104088. The cubic root of 1225105500 is about 1070.0181963307.

The spelling of 1225105500 in words is "one billion, two hundred twenty-five million, one hundred five thousand, five hundred".