1131204400020 has 288 divisors, whose sum is σ = 3673980850176. Its totient is φ = 291973248000.

The previous prime is 1131204399973. The next prime is 1131204400021. The reversal of 1131204400020 is 200044021311.

1131204400020 is a `hidden beast` number, since 11 + 31 + 204 + 400 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1131204399966 and 1131204400002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131204400021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25283670 + ... + 25328370.

It is an arithmetic number, because the mean of its divisors is an integer number (12756877952).

Almost surely, 2^{1131204400020} is an apocalyptic number.

1131204400020 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 1131204400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836990425088).

1131204400020 is an abundant number, since it is smaller than the sum of its proper divisors (2542776450156).

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

1131204400020 is a wasteful number, since it uses less digits than its factorization.

1131204400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44893 (or 44879 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1131204400020 its reverse (200044021311), we get a palindrome (1331248421331).

The spelling of 1131204400020 in words is "one trillion, one hundred thirty-one billion, two hundred four million, four hundred thousand, twenty".