1220414206816 has 48 divisors (see below), whose sum is σ = 2801971418400. Its totient is φ = 523034655360.

The previous prime is 1220414206801. The next prime is 1220414206831. The reversal of 1220414206816 is 6186024140221.

It is an interprime number because it is at equal distance from previous prime (1220414206801) and next prime (1220414206831).

It is a super-3 number, since 3×1220414206816³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55583695 + ... + 55605646.

It is an arithmetic number, because the mean of its divisors is an integer number (58374404550).

Almost surely, 2^{1220414206816} is an apocalyptic number.

1220414206816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1220414206816 is an abundant number, since it is smaller than the sum of its proper divisors (1581557211584).

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

1220414206816 is an equidigital number, since it uses as much as digits as its factorization.

1220414206816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111189372 (or 111189350 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 1220414206816 in words is "one trillion, two hundred twenty billion, four hundred fourteen million, two hundred six thousand, eight hundred sixteen".