1225147680 has 144 divisors (see below), whose sum is σ = 4335799104. Its totient is φ = 326695680.

The previous prime is 1225147667. The next prime is 1225147681. The reversal of 1225147680 is 867415221.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1225147681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23125 + ... + 54635.

It is an arithmetic number, because the mean of its divisors is an integer number (30109716).

Almost surely, 2^1225147680 is an apocalyptic number.

1225147680 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 1225147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167899552).

1225147680 is an abundant number, since it is smaller than the sum of its proper divisors (3110651424).

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

1225147680 is an equidigital number, since it uses as much as digits as its factorization.

1225147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31541 (or 31521 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1225147680 is about 35002.1096507053. The cubic root of 1225147680 is about 1070.0304763206.

The spelling of 1225147680 in words is "one billion, two hundred twenty-five million, one hundred forty-seven thousand, six hundred eighty".