1200011220096 has 128 divisors (see below), whose sum is σ = 3433395349440. Its totient is φ = 369162055680.

The previous prime is 1200011220059. The next prime is 1200011220097. The reversal of 1200011220096 is 6900221100021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1200011220097) 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 15 ways as a sum of consecutive naturals, for example, 29147686 + ... + 29188826.

Almost surely, 2^{1200011220096} is an apocalyptic number.

1200011220096 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 1200011220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716697674720).

1200011220096 is an abundant number, since it is smaller than the sum of its proper divisors (2233384129344).

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

1200011220096 is a wasteful number, since it uses less digits than its factorization.

1200011220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47014 (or 47002 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 1200011220096 in words is "one trillion, two hundred billion, eleven million, two hundred twenty thousand, ninety-six".