1141211032400 has 60 divisors (see below), whose sum is σ = 2742886903452. Its totient is φ = 456296709120.

The previous prime is 1141211032387. The next prime is 1141211032411. The reversal of 1141211032400 is 42301121411.

It can be written as a sum of positive squares in 6 ways, for example, as 90610632256 + 1050600400144 = 301016^2 + 1024988^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389444 + ... + 1560156.

Almost surely, 2^{1141211032400} is an apocalyptic number.

1141211032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141211032400 is an abundant number, since it is smaller than the sum of its proper divisors (1601675871052).

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

1141211032400 is a wasteful number, since it uses less digits than its factorization.

1141211032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173168 (or 1173157 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1141211032400 its reverse (42301121411), we get a palindrome (1183512153811).

The spelling of 1141211032400 in words is "one trillion, one hundred forty-one billion, two hundred eleven million, thirty-two thousand, four hundred".