3123541220400 has 180 divisors, whose sum is σ = 10842337688832. Its totient is φ = 832730549760.

The previous prime is 3123541220321. The next prime is 3123541220431. The reversal of 3123541220400 is 40221453213.

3123541220400 is a `hidden beast` number, since 3 + 1 + 2 + 35 + 4 + 1 + 220 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 14171842 + ... + 14390558.

Almost surely, 2^{3123541220400} is an apocalyptic number.

3123541220400 is a gapful number since it is divisible by the number (30) 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 3123541220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421168844416).

3123541220400 is an abundant number, since it is smaller than the sum of its proper divisors (7718796468432).

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

3123541220400 is a wasteful number, since it uses less digits than its factorization.

3123541220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222708 (or 222694 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3123541220400 its reverse (40221453213), we get a palindrome (3163762673613).

The spelling of 3123541220400 in words is "three trillion, one hundred twenty-three billion, five hundred forty-one million, two hundred twenty thousand, four hundred".