1240142000 has 160 divisors (see below), whose sum is σ = 3119800320. Its totient is φ = 476486400.

The previous prime is 1240141997. The next prime is 1240142003. The reversal of 1240142000 is 2410421.

It is an interprime number because it is at equal distance from previous prime (1240141997) and next prime (1240142003).

It is not an unprimeable number, because it can be changed into a prime (1240142003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7425917 + ... + 7426083.

It is an arithmetic number, because the mean of its divisors is an integer number (19498752).

Almost surely, 2^1240142000 is an apocalyptic number.

1240142000 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 1240142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

1240142000 is an abundant number, since it is smaller than the sum of its proper divisors (1879658320).

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

1240142000 is a wasteful number, since it uses less digits than its factorization.

1240142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1240142000 is about 35215.6499301092. The cubic root of 1240142000 is about 1074.3780790645.

Adding to 1240142000 its reverse (2410421), we get a palindrome (1242552421).

The spelling of 1240142000 in words is "one billion, two hundred forty million, one hundred forty-two thousand".