340220133121200 has 60 divisors (see below), whose sum is σ = 1089838493102088. Its totient is φ = 90725368832000.

The previous prime is 340220133121181. The next prime is 340220133121289. The reversal of 340220133121200 is 2121331022043.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141758387601 + ... + 141758390000.

Almost surely, 2^{340220133121200} is an apocalyptic number.

340220133121200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340220133121200 is an abundant number, since it is smaller than the sum of its proper divisors (749618359980888).

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

340220133121200 is a wasteful number, since it uses less digits than its factorization.

340220133121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283516777622 (or 283516777611 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 340220133121200 its reverse (2121331022043), we get a palindrome (342341464143243).

The spelling of 340220133121200 in words is "three hundred forty trillion, two hundred twenty billion, one hundred thirty-three million, one hundred twenty-one thousand, two hundred".