1102381056000 has 1280 divisors, whose sum is σ = 4711037760000. Its totient is φ = 249141657600.

The previous prime is 1102381055981. The next prime is 1102381056011. The reversal of 1102381056000 is 6501832011.

1102381056000 is a `hidden beast` number, since 1 + 1 + 0 + 23 + 81 + 0 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12386303956 + ... + 12386304044.

It is an arithmetic number, because the mean of its divisors is an integer number (3680498250).

Almost surely, 2^{1102381056000} is an apocalyptic number.

1102381056000 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 1102381056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355518880000).

1102381056000 is an abundant number, since it is smaller than the sum of its proper divisors (3608656704000).

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

1102381056000 is an frugal number, since it uses more digits than its factorization.

1102381056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 1102381056000 its reverse (6501832011), we get a palindrome (1108882888011).

The spelling of 1102381056000 in words is "one trillion, one hundred two billion, three hundred eighty-one million, fifty-six thousand".