1201216472400 has 960 divisors, whose sum is σ = 4786359367680. Its totient is φ = 251403264000.

The previous prime is 1201216472399. The next prime is 1201216472411. The reversal of 1201216472400 is 42746121021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 693141934 + ... + 693143666.

It is an arithmetic number, because the mean of its divisors is an integer number (4985791008).

Almost surely, 2^{1201216472400} is an apocalyptic number.

1201216472400 is a gapful number since it is divisible by the number (10) 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 1201216472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393179683840).

1201216472400 is an abundant number, since it is smaller than the sum of its proper divisors (3585142895280).

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

1201216472400 is a wasteful number, since it uses less digits than its factorization.

1201216472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 1201216472400 in words is "one trillion, two hundred one billion, two hundred sixteen million, four hundred seventy-two thousand, four hundred".