312201434400100 has 216 divisors, whose sum is σ = 822813515314560. Its totient is φ = 102328874081280.

The previous prime is 312201434400061. The next prime is 312201434400197. The reversal of 312201434400100 is 1004434102213.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 199488441 + ... + 201047359.

It is an arithmetic number, because the mean of its divisors is an integer number (3809321830160).

Almost surely, 2^{312201434400100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312201434400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411406757657280).

312201434400100 is an abundant number, since it is smaller than the sum of its proper divisors (510612080914460).

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

312201434400100 is a wasteful number, since it uses less digits than its factorization.

312201434400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560747 (or 1560733 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 312201434400100 its reverse (1004434102213), we get a palindrome (313205868502313).

The spelling of 312201434400100 in words is "three hundred twelve trillion, two hundred one billion, four hundred thirty-four million, four hundred thousand, one hundred".