1201123412400 has 60 divisors (see below), whose sum is σ = 3847598668232. Its totient is φ = 320299576320.

The previous prime is 1201123412381. The next prime is 1201123412407. The reversal of 1201123412400 is 42143211021.

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

It is not an unprimeable number, because it can be changed into a prime (1201123412407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500466889 + ... + 500469288.

Almost surely, 2^{1201123412400} is an apocalyptic number.

1201123412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201123412400 is an abundant number, since it is smaller than the sum of its proper divisors (2646475255832).

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

1201123412400 is a wasteful number, since it uses less digits than its factorization.

1201123412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000936198 (or 1000936187 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1201123412400 its reverse (42143211021), we get a palindrome (1243266623421).

The spelling of 1201123412400 in words is "one trillion, two hundred one billion, one hundred twenty-three million, four hundred twelve thousand, four hundred".