12200434530240 has 448 divisors, whose sum is σ = 42638186999808. Its totient is φ = 2955524239360.

The previous prime is 12200434530203. The next prime is 12200434530257. The reversal of 12200434530240 is 4203543400221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12200434530198 and 12200434530207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2398352977 + ... + 2398358063.

Almost surely, 2^{12200434530240} is an apocalyptic number.

12200434530240 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 12200434530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319093499904).

12200434530240 is an abundant number, since it is smaller than the sum of its proper divisors (30437752469568).

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

12200434530240 is a wasteful number, since it uses less digits than its factorization.

12200434530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 12200434530240 its reverse (4203543400221), we get a palindrome (16403977930461).

The spelling of 12200434530240 in words is "twelve trillion, two hundred billion, four hundred thirty-four million, five hundred thirty thousand, two hundred forty".