1220077336356 has 144 divisors (see below), whose sum is σ = 3164435164800. Its totient is φ = 396258347520.

The previous prime is 1220077336339. The next prime is 1220077336367. The reversal of 1220077336356 is 6536337700221.

1220077336356 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 7 + 7 + 3 + 3 + 635 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79481370 + ... + 79496718.

It is an arithmetic number, because the mean of its divisors is an integer number (21975244200).

Almost surely, 2^{1220077336356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220077336356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582217582400).

1220077336356 is an abundant number, since it is smaller than the sum of its proper divisors (1944357828444).

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

1220077336356 is a wasteful number, since it uses less digits than its factorization.

1220077336356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15794 (or 15789 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 1220077336356 in words is "one trillion, two hundred twenty billion, seventy-seven million, three hundred thirty-six thousand, three hundred fifty-six".