1220776427520 has 1440 divisors, whose sum is σ = 4955823900720. Its totient is φ = 285380444160.

The previous prime is 1220776427501. The next prime is 1220776427531. The reversal of 1220776427520 is 257246770221.

1220776427520 is a `hidden beast` number, since 12 + 2 + 0 + 7 + 76 + 42 + 7 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 63069290496 + 1157707137024 = 251136^2 + 1075968^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×1220776427520³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20012728290 + ... + 20012728350.

Almost surely, 2^{1220776427520} is an apocalyptic number.

1220776427520 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 1220776427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477911950360).

1220776427520 is an abundant number, since it is smaller than the sum of its proper divisors (3735047473200).

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

1220776427520 is an frugal number, since it uses more digits than its factorization.

1220776427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 1220776427520 in words is "one trillion, two hundred twenty billion, seven hundred seventy-six million, four hundred twenty-seven thousand, five hundred twenty".