1200142512324 has 288 divisors, whose sum is σ = 3738216867840. Its totient is φ = 316860678144.

The previous prime is 1200142512323. The next prime is 1200142512407. The reversal of 1200142512324 is 4232152410021.

1200142512324 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 425 + 1 + 232 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1200142512323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69730632 + ... + 69747840.

It is an arithmetic number, because the mean of its divisors is an integer number (12979919680).

Almost surely, 2^{1200142512324} is an apocalyptic number.

1200142512324 is a gapful number since it is divisible by the number (14) 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 1200142512324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869108433920).

1200142512324 is an abundant number, since it is smaller than the sum of its proper divisors (2538074355516).

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

1200142512324 is a wasteful number, since it uses less digits than its factorization.

1200142512324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17539 (or 17534 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1200142512324 its reverse (4232152410021), we get a palindrome (5432294922345).

The spelling of 1200142512324 in words is "one trillion, two hundred billion, one hundred forty-two million, five hundred twelve thousand, three hundred twenty-four".