1220749201056 has 96 divisors (see below), whose sum is σ = 3995179227648. Its totient is φ = 317077712640.

The previous prime is 1220749201019. The next prime is 1220749201093. The reversal of 1220749201056 is 6501029470221.

It is an interprime number because it is at equal distance from previous prime (1220749201019) and next prime (1220749201093).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1220749201056² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 82564930 + ... + 82579713.

It is an arithmetic number, because the mean of its divisors is an integer number (41616450288).

Almost surely, 2^{1220749201056} is an apocalyptic number.

1220749201056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1220749201056 is an abundant number, since it is smaller than the sum of its proper divisors (2774430026592).

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

1220749201056 is a wasteful number, since it uses less digits than its factorization.

1220749201056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165144674 (or 165144666 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 1220749201056 in words is "one trillion, two hundred twenty billion, seven hundred forty-nine million, two hundred one thousand, fifty-six".