311123204400 has 480 divisors, whose sum is σ = 1053188591616. Its totient is φ = 78405120000.

The previous prime is 311123204387. The next prime is 311123204407. The reversal of 311123204400 is 4402321113.

It is a super-2 number, since 2×311123204400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311123204407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378955990 + ... + 378956810.

Almost surely, 2^311123204400 is an apocalyptic number.

311123204400 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 311123204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526594295808).

311123204400 is an abundant number, since it is smaller than the sum of its proper divisors (742065387216).

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

311123204400 is a wasteful number, since it uses less digits than its factorization.

311123204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 311123204400 its reverse (4402321113), we get a palindrome (315525525513).

The spelling of 311123204400 in words is "three hundred eleven billion, one hundred twenty-three million, two hundred four thousand, four hundred".