1121867366400 has 1920 divisors, whose sum is σ = 4778775500400. Its totient is φ = 257635123200.

The previous prime is 1121867366393. The next prime is 1121867366419. The reversal of 1121867366400 is 46637681211.

1121867366400 is a `hidden beast` number, since 1 + 1 + 2 + 186 + 7 + 3 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21167308774 + ... + 21167308826.

Almost surely, 2^{1121867366400} is an apocalyptic number.

1121867366400 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 1121867366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389387750200).

1121867366400 is an abundant number, since it is smaller than the sum of its proper divisors (3656908134000).

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

1121867366400 is an equidigital number, since it uses as much as digits as its factorization.

1121867366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1121867366400 in words is "one trillion, one hundred twenty-one billion, eight hundred sixty-seven million, three hundred sixty-six thousand, four hundred".