314124220030200 has 384 divisors, whose sum is σ = 1078417289376000. Its totient is φ = 75329649561600.

The previous prime is 314124220030121. The next prime is 314124220030211. The reversal of 314124220030200 is 2030022421413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8211811 + ... + 26375789.

It is an arithmetic number, because the mean of its divisors is an integer number (2808378357750).

Almost surely, 2^{314124220030200} is an apocalyptic number.

314124220030200 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 314124220030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539208644688000).

314124220030200 is an abundant number, since it is smaller than the sum of its proper divisors (764293069345800).

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

314124220030200 is a wasteful number, since it uses less digits than its factorization.

314124220030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18164095 (or 18164086 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 314124220030200 its reverse (2030022421413), we get a palindrome (316154242451613).

The spelling of 314124220030200 in words is "three hundred fourteen trillion, one hundred twenty-four billion, two hundred twenty million, thirty thousand, two hundred".