1034142120000 has 560 divisors, whose sum is σ = 4144429608000. Its totient is φ = 250698240000.

The previous prime is 1034142119947. The next prime is 1034142120007. The reversal of 1034142120000 is 212414301.

1034142120000 is a `hidden beast` number, since 1 + 0 + 3 + 41 + 421 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1034142120007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11836476 + ... + 11923524.

Almost surely, 2^{1034142120000} is an apocalyptic number.

1034142120000 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 1034142120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072214804000).

1034142120000 is an abundant number, since it is smaller than the sum of its proper divisors (3110287488000).

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

1034142120000 is an equidigital number, since it uses as much as digits as its factorization.

1034142120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87101 (or 87070 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1034142120000 its reverse (212414301), we get a palindrome (1034354534301).

The spelling of 1034142120000 in words is "one trillion, thirty-four billion, one hundred forty-two million, one hundred twenty thousand".