312142240411000 has 512 divisors, whose sum is σ = 814346058240000. Its totient is φ = 111453681715200.

The previous prime is 312142240410953. The next prime is 312142240411049. The reversal of 312142240411000 is 114042241213.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 8240490061 + ... + 8240527939.

It is an arithmetic number, because the mean of its divisors is an integer number (1590519645000).

Almost surely, 2^{312142240411000} 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 312142240411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407173029120000).

312142240411000 is an abundant number, since it is smaller than the sum of its proper divisors (502203817829000).

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

312142240411000 is a wasteful number, since it uses less digits than its factorization.

312142240411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38224 (or 38210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 312142240411000 its reverse (114042241213), we get a palindrome (312256282652213).

The spelling of 312142240411000 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred forty million, four hundred eleven thousand".