314234222120000 has 1120 divisors, whose sum is σ = 989965279505664. Its totient is φ = 96277708800000.

The previous prime is 314234222119981. The next prime is 314234222120029. The reversal of 314234222120000 is 21222432413.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×314234222120000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19550431964 + ... + 19550448036.

Almost surely, 2^{314234222120000} 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 314234222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494982639752832).

314234222120000 is an abundant number, since it is smaller than the sum of its proper divisors (675731057385664).

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

314234222120000 is a wasteful number, since it uses less digits than its factorization.

314234222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16297 (or 16272 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 314234222120000 its reverse (21222432413), we get a palindrome (314255444552413).

The spelling of 314234222120000 in words is "three hundred fourteen trillion, two hundred thirty-four billion, two hundred twenty-two million, one hundred twenty thousand".