1220768820000 has 840 divisors, whose sum is σ = 4552919896140. Its totient is φ = 321926400000.

The previous prime is 1220768819971. The next prime is 1220768820017. The reversal of 1220768820000 is 288670221.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2721082896 + 1218047737104 = 52164^2 + 1103652^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1472579586 + ... + 1472580414.

Almost surely, 2^{1220768820000} is an apocalyptic number.

1220768820000 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 1220768820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276459948070).

1220768820000 is an abundant number, since it is smaller than the sum of its proper divisors (3332151076140).

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

1220768820000 is an frugal number, since it uses more digits than its factorization.

1220768820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1220768820000 in words is "one trillion, two hundred twenty billion, seven hundred sixty-eight million, eight hundred twenty thousand".