1220415320034 has 24 divisors (see below), whose sum is σ = 2668492217820. Its totient is φ = 403072949088.

The previous prime is 1220415320029. The next prime is 1220415320039. The reversal of 1220415320034 is 4300235140221.

1220415320034 is a `hidden beast` number, since 1 + 220 + 415 + 3 + 20 + 0 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1220415320029) and next prime (1220415320039).

It can be written as a sum of positive squares in 2 ways, for example, as 1219909205025 + 506115009 = 1104495^2 + 22497^2 .

It is a super-2 number, since 2×1220415320034² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1220415320039) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 311011117 + ... + 311015040.

Almost surely, 2^{1220415320034} is an apocalyptic number.

1220415320034 is an abundant number, since it is smaller than the sum of its proper divisors (1448076897786).

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

1220415320034 is a wasteful number, since it uses less digits than its factorization.

1220415320034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622026274 (or 622026271 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 1220415320034 in words is "one trillion, two hundred twenty billion, four hundred fifteen million, three hundred twenty thousand, thirty-four".