312211123400 has 384 divisors, whose sum is σ = 868669401600. Its totient is φ = 103066521600.

The previous prime is 312211123361. The next prime is 312211123447. The reversal of 312211123400 is 4321112213.

It is a super-3 number, since 3×312211123400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 133479431 + ... + 133481769.

It is an arithmetic number, because the mean of its divisors is an integer number (2262159900).

Almost surely, 2^312211123400 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 312211123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434334700800).

312211123400 is an abundant number, since it is smaller than the sum of its proper divisors (556458278200).

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

312211123400 is a wasteful number, since it uses less digits than its factorization.

312211123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312211123400 its reverse (4321112213), we get a palindrome (316532235613).

The spelling of 312211123400 in words is "three hundred twelve billion, two hundred eleven million, one hundred twenty-three thousand, four hundred".