12420555510400 has 96 divisors (see below), whose sum is σ = 31740676307100. Its totient is φ = 4796904161280.

The previous prime is 12420555510373. The next prime is 12420555510437. The reversal of 12420555510400 is 401555502421.

It can be written as a sum of positive squares in 6 ways, for example, as 6071808522816 + 6348746987584 = 2464104^2 + 2519672^2 .

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 11 ways as a sum of consecutive naturals, for example, 66828297 + ... + 67013896.

Almost surely, 2^{12420555510400} is an apocalyptic number.

12420555510400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420555510400 is an abundant number, since it is smaller than the sum of its proper divisors (19320120796700).

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

12420555510400 is a wasteful number, since it uses less digits than its factorization.

12420555510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133842246 (or 133842229 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The spelling of 12420555510400 in words is "twelve trillion, four hundred twenty billion, five hundred fifty-five million, five hundred ten thousand, four hundred".