4312302121200 has 240 divisors, whose sum is σ = 14000984593920. Its totient is φ = 1134385674240.

The previous prime is 4312302121189. The next prime is 4312302121213. The reversal of 4312302121200 is 21212032134.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110232844 + ... + 110271956.

It is an arithmetic number, because the mean of its divisors is an integer number (58337435808).

Almost surely, 2^{4312302121200} is an apocalyptic number.

4312302121200 is a gapful number since it is divisible by the number (40) 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 4312302121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000492296960).

4312302121200 is an abundant number, since it is smaller than the sum of its proper divisors (9688682472720).

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

4312302121200 is a wasteful number, since it uses less digits than its factorization.

4312302121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40376 (or 40365 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 4312302121200 its reverse (21212032134), we get a palindrome (4333514153334).

The spelling of 4312302121200 in words is "four trillion, three hundred twelve billion, three hundred two million, one hundred twenty-one thousand, two hundred".