1142114000 has 80 divisors (see below), whose sum is σ = 2772478800. Its totient is φ = 455052800.

The previous prime is 1142113991. The next prime is 1142114011. The reversal of 1142114000 is 4112411.

It can be written as a sum of positive squares in 8 ways, for example, as 31091776 + 1111022224 = 5576^2 + 33332^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585026 + ... + 586974.

It is an arithmetic number, because the mean of its divisors is an integer number (34655985).

Almost surely, 2^1142114000 is an apocalyptic number.

1142114000 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 1142114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386239400).

1142114000 is an abundant number, since it is smaller than the sum of its proper divisors (1630364800).

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

1142114000 is a wasteful number, since it uses less digits than its factorization.

1142114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1142114000 is about 33795.1771707148. The cubic root of 1142114000 is about 1045.2892524377.

Adding to 1142114000 its reverse (4112411), we get a palindrome (1146226411).

The spelling of 1142114000 in words is "one billion, one hundred forty-two million, one hundred fourteen thousand".