1142034011300 has 216 divisors, whose sum is σ = 3079166795712. Its totient is φ = 359985600000.

The previous prime is 1142034011273. The next prime is 1142034011309. The reversal of 1142034011300 is 31104302411.

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

It is not an unprimeable number, because it can be changed into a prime (1142034011309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29674070 + ... + 29712530.

It is an arithmetic number, because the mean of its divisors is an integer number (14255401832).

Almost surely, 2^{1142034011300} is an apocalyptic number.

1142034011300 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 1142034011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539583397856).

1142034011300 is an abundant number, since it is smaller than the sum of its proper divisors (1937132784412).

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

1142034011300 is a wasteful number, since it uses less digits than its factorization.

1142034011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38759 (or 38739 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1142034011300 its reverse (31104302411), we get a palindrome (1173138313711).

The spelling of 1142034011300 in words is "one trillion, one hundred forty-two billion, thirty-four million, eleven thousand, three hundred".