1142400021312 has 224 divisors, whose sum is σ = 3446635484160. Its totient is φ = 330563706880.

The previous prime is 1142400021251. The next prime is 1142400021331. The reversal of 1142400021312 is 2131200042411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28785739 + ... + 28825397.

Almost surely, 2^{1142400021312} is an apocalyptic number.

1142400021312 is a gapful number since it is divisible by the number (12) 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 1142400021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723317742080).

1142400021312 is an abundant number, since it is smaller than the sum of its proper divisors (2304235462848).

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

1142400021312 is a wasteful number, since it uses less digits than its factorization.

1142400021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40301 (or 40291 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1142400021312 its reverse (2131200042411), we get a palindrome (3273600063723).

The spelling of 1142400021312 in words is "one trillion, one hundred forty-two billion, four hundred million, twenty-one thousand, three hundred twelve".