1225873920 has 320 divisors, whose sum is σ = 4274012160. Its totient is φ = 298598400.

The previous prime is 1225873903. The next prime is 1225873921. The reversal of 1225873920 is 293785221.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225873921) 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, 4523385 + ... + 4523655.

It is an arithmetic number, because the mean of its divisors is an integer number (13356288).

Almost surely, 2^1225873920 is an apocalyptic number.

1225873920 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 1225873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137006080).

1225873920 is an abundant number, since it is smaller than the sum of its proper divisors (3048138240).

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

1225873920 is a wasteful number, since it uses less digits than its factorization.

1225873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1225873920 is about 35012.4823455864. The cubic root of 1225873920 is about 1070.2418645604.

The spelling of 1225873920 in words is "one billion, two hundred twenty-five million, eight hundred seventy-three thousand, nine hundred twenty".