1225105420 has 96 divisors (see below), whose sum is σ = 3285950976. Its totient is φ = 372518400.

The previous prime is 1225105397. The next prime is 1225105421. The reversal of 1225105420 is 245015221.

It is a super-2 number, since 2×1225105420² = 3001766580226752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1225105391 and 1225105400.

It is not an unprimeable number, because it can be changed into a prime (1225105421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53439 + ... + 72841.

It is an arithmetic number, because the mean of its divisors is an integer number (34228656).

Almost surely, 2^1225105420 is an apocalyptic number.

1225105420 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 1225105420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642975488).

1225105420 is an abundant number, since it is smaller than the sum of its proper divisors (2060845556).

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

1225105420 is a wasteful number, since it uses less digits than its factorization.

1225105420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19471 (or 19469 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1225105420 is about 35001.5059676009. The cubic root of 1225105420 is about 1070.0181730398.

The spelling of 1225105420 in words is "one billion, two hundred twenty-five million, one hundred five thousand, four hundred twenty".