1201222804320 has 2304 divisors, whose sum is σ = 5694259544064. Its totient is φ = 222953472000.

The previous prime is 1201222804231. The next prime is 1201222804387. The reversal of 1201222804320 is 234082221021.

1201222804320 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 228 + 0 + 432 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3564459192 + ... + 3564459528.

It is an arithmetic number, because the mean of its divisors is an integer number (2471466816).

Almost surely, 2^{1201222804320} is an apocalyptic number.

1201222804320 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 1201222804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847129772032).

1201222804320 is an abundant number, since it is smaller than the sum of its proper divisors (4493036739744).

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

1201222804320 is a wasteful number, since it uses less digits than its factorization.

1201222804320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 1201222804320 in words is "one trillion, two hundred one billion, two hundred twenty-two million, eight hundred four thousand, three hundred twenty".