1142971269120 has 768 divisors, whose sum is σ = 4099771035360. Its totient is φ = 294440140800.

The previous prime is 1142971269073. The next prime is 1142971269149. The reversal of 1142971269120 is 219621792411.

1142971269120 is a `hidden beast` number, since 11 + 429 + 7 + 126 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 8724971455 + ... + 8724971585.

Almost surely, 2^{1142971269120} is an apocalyptic number.

1142971269120 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 1142971269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049885517680).

1142971269120 is an abundant number, since it is smaller than the sum of its proper divisors (2956799766240).

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

1142971269120 is an equidigital number, since it uses as much as digits as its factorization.

1142971269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1142971269120 in words is "one trillion, one hundred forty-two billion, nine hundred seventy-one million, two hundred sixty-nine thousand, one hundred twenty".