1200072024340 has 192 divisors, whose sum is σ = 3078761011200. Its totient is φ = 383561441280.

The previous prime is 1200072024287. The next prime is 1200072024343. The reversal of 1200072024340 is 434202700021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200072024343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130140930 + ... + 130150150.

It is an arithmetic number, because the mean of its divisors is an integer number (16035213600).

Almost surely, 2^{1200072024340} is an apocalyptic number.

1200072024340 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 1200072024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539380505600).

1200072024340 is an abundant number, since it is smaller than the sum of its proper divisors (1878688986860).

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

1200072024340 is a wasteful number, since it uses less digits than its factorization.

1200072024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9770 (or 9768 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

Adding to 1200072024340 its reverse (434202700021), we get a palindrome (1634274724361).

The spelling of 1200072024340 in words is "one trillion, two hundred billion, seventy-two million, twenty-four thousand, three hundred forty".