1220542190820 has 288 divisors, whose sum is σ = 4008032552160. Its totient is φ = 300540764160.

The previous prime is 1220542190797. The next prime is 1220542190851. The reversal of 1220542190820 is 280912450221.

1220542190820 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 542 + 1 + 90 + 8 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1633453056 + 1218908737764 = 40416^2 + 1104042^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46857000 + ... + 46883040.

It is an arithmetic number, because the mean of its divisors is an integer number (13916779695).

Almost surely, 2^{1220542190820} is an apocalyptic number.

1220542190820 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 1220542190820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004016276080).

1220542190820 is an abundant number, since it is smaller than the sum of its proper divisors (2787490361340).

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

1220542190820 is a wasteful number, since it uses less digits than its factorization.

1220542190820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26160 (or 26121 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1220542190820 in words is "one trillion, two hundred twenty billion, five hundred forty-two million, one hundred ninety thousand, eight hundred twenty".