1221285120 has 288 divisors, whose sum is σ = 4406209920. Its totient is φ = 285573120.

The previous prime is 1221285113. The next prime is 1221285137. The reversal of 1221285120 is 215821221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224462 + ... + 1225458.

It is an arithmetic number, because the mean of its divisors is an integer number (15299340).

Almost surely, 2^1221285120 is an apocalyptic number.

1221285120 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 1221285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203104960).

1221285120 is an abundant number, since it is smaller than the sum of its proper divisors (3184924800).

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

1221285120 is a wasteful number, since it uses less digits than its factorization.

1221285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1221285120 is about 34946.8899903840. The cubic root of 1221285120 is about 1068.9047867191.

The spelling of 1221285120 in words is "one billion, two hundred twenty-one million, two hundred eighty-five thousand, one hundred twenty".