1142012032400 has 30 divisors (see below), whose sum is σ = 2743683908802. Its totient is φ = 456804812800.

The previous prime is 1142012032397. The next prime is 1142012032411. The reversal of 1142012032400 is 42302102411.

It can be written as a sum of positive squares in 3 ways, for example, as 315309202576 + 826702829824 = 561524^2 + 909232^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1427514641 + ... + 1427515440.

Almost surely, 2^{1142012032400} is an apocalyptic number.

1142012032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142012032400 is an abundant number, since it is smaller than the sum of its proper divisors (1601671876402).

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

1142012032400 is a wasteful number, since it uses less digits than its factorization.

1142012032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855030099 (or 2855030088 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1142012032400 its reverse (42302102411), we get a palindrome (1184314134811).

The spelling of 1142012032400 in words is "one trillion, one hundred forty-two billion, twelve million, thirty-two thousand, four hundred".