1220762388736 has 288 divisors, whose sum is σ = 2808495244800. Its totient is φ = 524439552000.

The previous prime is 1220762388719. The next prime is 1220762388739. The reversal of 1220762388736 is 6378832670221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1220762388739) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1340024121 + ... + 1340025031.

It is an arithmetic number, because the mean of its divisors is an integer number (9751719600).

Almost surely, 2^{1220762388736} is an apocalyptic number.

1220762388736 is a gapful number since it is divisible by the number (16) 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 1220762388736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404247622400).

1220762388736 is an abundant number, since it is smaller than the sum of its proper divisors (1587732856064).

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

1220762388736 is a wasteful number, since it uses less digits than its factorization.

1220762388736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 1220762388736 in words is "one trillion, two hundred twenty billion, seven hundred sixty-two million, three hundred eighty-eight thousand, seven hundred thirty-six".