312424031121000 has 512 divisors, whose sum is σ = 1099615280025600. Its totient is φ = 73456058649600.

The previous prime is 312424031120899. The next prime is 312424031121029. The reversal of 312424031121000 is 121130424213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45286599 + ... + 51727401.

It is an arithmetic number, because the mean of its divisors is an integer number (2147686093800).

Almost surely, 2^{312424031121000} is an apocalyptic number.

312424031121000 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 312424031121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549807640012800).

312424031121000 is an abundant number, since it is smaller than the sum of its proper divisors (787191248904600).

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

312424031121000 is a wasteful number, since it uses less digits than its factorization.

312424031121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440906 (or 6440892 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312424031121000 its reverse (121130424213), we get a palindrome (312545161545213).

The spelling of 312424031121000 in words is "three hundred twelve trillion, four hundred twenty-four billion, thirty-one million, one hundred twenty-one thousand".