12354215200000 has 216 divisors, whose sum is σ = 31404920253336. Its totient is φ = 4848430080000.

The previous prime is 12354215199967. The next prime is 12354215200099. The reversal of 12354215200000 is 251245321.

It can be written as a sum of positive squares in 12 ways, for example, as 12279025172736 + 75190027264 = 3504144^2 + 274208^2 .

It is a super-2 number, since 2×12354215200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 42254314 + ... + 42545686.

It is an arithmetic number, because the mean of its divisors is an integer number (145393149321).

Almost surely, 2^{12354215200000} is an apocalyptic number.

12354215200000 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 12354215200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702460126668).

12354215200000 is an abundant number, since it is smaller than the sum of its proper divisors (19050705053336).

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

12354215200000 is an frugal number, since it uses more digits than its factorization.

12354215200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291467 (or 291433 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 12354215200000 its reverse (251245321), we get a palindrome (12354466445321).

The spelling of 12354215200000 in words is "twelve trillion, three hundred fifty-four billion, two hundred fifteen million, two hundred thousand".