1121000601600 has 864 divisors, whose sum is σ = 4542429265920. Its totient is φ = 271724544000.

The previous prime is 1121000601583. The next prime is 1121000601613. The reversal of 1121000601600 is 61060001211.

1121000601600 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 0 + 0 + 0 + 60 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136853505 + ... + 136861695.

It is an arithmetic number, because the mean of its divisors is an integer number (5257441280).

Almost surely, 2^{1121000601600} is an apocalyptic number.

1121000601600 is a gapful number since it is divisible by the number (10) 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 1121000601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271214632960).

1121000601600 is an abundant number, since it is smaller than the sum of its proper divisors (3421428664320).

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

1121000601600 is an equidigital number, since it uses as much as digits as its factorization.

1121000601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1121000601600 its reverse (61060001211), we get a palindrome (1182060602811).

The spelling of 1121000601600 in words is "one trillion, one hundred twenty-one billion, six hundred one thousand, six hundred".