1220785020000 has 2400 divisors, whose sum is σ = 5667791976000. Its totient is φ = 257572224000.

The previous prime is 1220785019963. The next prime is 1220785020011. The reversal of 1220785020000 is 205870221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 13650 × 8190 × 10920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 93906539994 + ... + 93906540006.

It is an arithmetic number, because the mean of its divisors is an integer number (2361579990).

Almost surely, 2^{1220785020000} is an apocalyptic number.

1220785020000 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 1220785020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833895988000).

1220785020000 is an abundant number, since it is smaller than the sum of its proper divisors (4447006956000).

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

1220785020000 is an frugal number, since it uses more digits than its factorization.

1220785020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 1220785020000 in words is "one trillion, two hundred twenty billion, seven hundred eighty-five million, twenty thousand".