12354053200000 has 96 divisors (see below), whose sum is σ = 30762520018020. Its totient is φ = 4941621120000.

The previous prime is 12354053199941. The next prime is 12354053200009. The reversal of 12354053200000 is 235045321.

12354053200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 334629854784 + 12019423345216 = 578472^2 + 3466904^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12354053200009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15042567 + ... + 15842566.

Almost surely, 2^{12354053200000} is an apocalyptic number.

12354053200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12354053200000 is an abundant number, since it is smaller than the sum of its proper divisors (18408466818020).

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

12354053200000 is an frugal number, since it uses more digits than its factorization.

12354053200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30885172 (or 30885140 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 12354053200000 its reverse (235045321), we get a palindrome (12354288245321).

The spelling of 12354053200000 in words is "twelve trillion, three hundred fifty-four billion, fifty-three million, two hundred thousand".