312241201400 has 96 divisors (see below), whose sum is σ = 738796464000. Its totient is φ = 122700681600.

The previous prime is 312241201277. The next prime is 312241201421. The reversal of 312241201400 is 4102142213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3979751 + ... + 4057449.

It is an arithmetic number, because the mean of its divisors is an integer number (7695796500).

Almost surely, 2^312241201400 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 312241201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369398232000).

312241201400 is an abundant number, since it is smaller than the sum of its proper divisors (426555262600).

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

312241201400 is a wasteful number, since it uses less digits than its factorization.

312241201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78069 (or 78060 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 312241201400 its reverse (4102142213), we get a palindrome (316343343613).

The spelling of 312241201400 in words is "three hundred twelve billion, two hundred forty-one million, two hundred one thousand, four hundred".