1221364080 has 360 divisors, whose sum is σ = 4480998912. Its totient is φ = 297851904.

The previous prime is 1221364069. The next prime is 1221364093. The reversal of 1221364080 is 804631221.

1221364080 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9616977 + ... + 9617103.

Almost surely, 2^1221364080 is an apocalyptic number.

1221364080 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 1221364080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240499456).

1221364080 is an abundant number, since it is smaller than the sum of its proper divisors (3259634832).

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

1221364080 is a wasteful number, since it uses less digits than its factorization.

1221364080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1221364080 is about 34948.0196863857. The cubic root of 1221364080 is about 1068.9278222635.

The spelling of 1221364080 in words is "one billion, two hundred twenty-one million, three hundred sixty-four thousand, eighty".