311010012000 has 576 divisors, whose sum is σ = 1193366865600. Its totient is φ = 76441190400.

The previous prime is 311010011969. The next prime is 311010012029. The reversal of 311010012000 is 210010113.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 25301856 + ... + 25314144.

It is an arithmetic number, because the mean of its divisors is an integer number (2071817475).

Almost surely, 2^311010012000 is an apocalyptic number.

311010012000 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 311010012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596683432800).

311010012000 is an abundant number, since it is smaller than the sum of its proper divisors (882356853600).

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

311010012000 is a wasteful number, since it uses less digits than its factorization.

311010012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12376 (or 12355 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 311010012000 its reverse (210010113), we get a palindrome (311220022113).

The spelling of 311010012000 in words is "three hundred eleven billion, ten million, twelve thousand".