1224965280 has 576 divisors, whose sum is σ = 5096577024. Its totient is φ = 241612800.

The previous prime is 1224965263. The next prime is 1224965297. The reversal of 1224965280 is 825694221.

1224965280 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (1224965263) and next prime (1224965297).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9350815 + ... + 9350945.

It is an arithmetic number, because the mean of its divisors is an integer number (8848224).

Almost surely, 2^1224965280 is an apocalyptic number.

1224965280 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 1224965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548288512).

1224965280 is an abundant number, since it is smaller than the sum of its proper divisors (3871611744).

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

1224965280 is a wasteful number, since it uses less digits than its factorization.

1224965280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1224965280 is about 34999.5039964854. The cubic root of 1224965280 is about 1069.9773716355.

The spelling of 1224965280 in words is "one billion, two hundred twenty-four million, nine hundred sixty-five thousand, two hundred eighty".