1121140202400 has 288 divisors, whose sum is σ = 4055916654720. Its totient is φ = 298887690240.

The previous prime is 1121140202383. The next prime is 1121140202453. The reversal of 1121140202400 is 42020411211.

1121140202400 is a `hidden beast` number, since 1 + 1 + 21 + 1 + 40 + 202 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150829084 + ... + 150836516.

It is an arithmetic number, because the mean of its divisors is an integer number (14083043940).

Almost surely, 2^{1121140202400} is an apocalyptic number.

1121140202400 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 1121140202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027958327360).

1121140202400 is an abundant number, since it is smaller than the sum of its proper divisors (2934776452320).

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

1121140202400 is a wasteful number, since it uses less digits than its factorization.

1121140202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14445 (or 14426 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1121140202400 its reverse (42020411211), we get a palindrome (1163160613611).

The spelling of 1121140202400 in words is "one trillion, one hundred twenty-one billion, one hundred forty million, two hundred two thousand, four hundred".