311442330212000 has 384 divisors, whose sum is σ = 848187054082368. Its totient is φ = 111643121664000.

The previous prime is 311442330211931. The next prime is 311442330212053. The reversal of 311442330212000 is 212033244113.

It can be written as a sum of positive squares in 32 ways, for example, as 212772517052176 + 98669813159824 = 14586724^2 + 9933268^2 .

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 63 ways as a sum of consecutive naturals, for example, 886788434 + ... + 887139566.

Almost surely, 2^{311442330212000} 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 311442330212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424093527041184).

311442330212000 is an abundant number, since it is smaller than the sum of its proper divisors (536744723870368).

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

311442330212000 is a wasteful number, since it uses less digits than its factorization.

311442330212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351669 (or 351651 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 311442330212000 its reverse (212033244113), we get a palindrome (311654363456113).

The spelling of 311442330212000 in words is "three hundred eleven trillion, four hundred forty-two billion, three hundred thirty million, two hundred twelve thousand".