1220684256000 has 2016 divisors, whose sum is σ = 5119037554176. Its totient is φ = 287400960000.

The previous prime is 1220684255969. The next prime is 1220684256019. The reversal of 1220684256000 is 6524860221.

It is a happy number.

1220684256000 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 6 + 8 + 42 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 17192735965 + ... + 17192736035.

It is an arithmetic number, because the mean of its divisors is an integer number (2539205136).

Almost surely, 2^{1220684256000} is an apocalyptic number.

1220684256000 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 1220684256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559518777088).

1220684256000 is an abundant number, since it is smaller than the sum of its proper divisors (3898353298176).

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

1220684256000 is an frugal number, since it uses more digits than its factorization.

1220684256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1220684256000 in words is "one trillion, two hundred twenty billion, six hundred eighty-four million, two hundred fifty-six thousand".