1221480000 has 700 divisors, whose sum is σ = 5040683340. Its totient is φ = 290304000.

The previous prime is 1221479993. The next prime is 1221480017. The reversal of 1221480000 is 841221.

It can be written as a sum of positive squares in 10 ways, for example, as 1101708864 + 119771136 = 33192^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 42119986 + ... + 42120014.

Almost surely, 2^1221480000 is an apocalyptic number.

1221480000 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 1221480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520341670).

1221480000 is an abundant number, since it is smaller than the sum of its proper divisors (3819203340).

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

1221480000 is an equidigital number, since it uses as much as digits as its factorization.

1221480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1221480000 is about 34949.6781101057. The cubic root of 1221480000 is about 1068.9616386047.

The spelling of 1221480000 in words is "one billion, two hundred twenty-one million, four hundred eighty thousand".