314030212000 has 192 divisors, whose sum is σ = 800543671200. Its totient is φ = 120921292800.

The previous prime is 314030211997. The next prime is 314030212057. The reversal of 314030212000 is 212030413.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 291316624 + 313738895376 = 17068^2 + 560124^2 .

It is a super-2 number, since 2×314030212000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40944166 + ... + 40951834.

Almost surely, 2^314030212000 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 314030212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400271835600).

314030212000 is an abundant number, since it is smaller than the sum of its proper divisors (486513459200).

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

314030212000 is a wasteful number, since it uses less digits than its factorization.

314030212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 314030212000 its reverse (212030413), we get a palindrome (314242242413).

The spelling of 314030212000 in words is "three hundred fourteen billion, thirty million, two hundred twelve thousand".