312011444413020 has 144 divisors (see below), whose sum is σ = 960464526336000. Its totient is φ = 75624070642560.

The previous prime is 312011444413013. The next prime is 312011444413061. The reversal of 312011444413020 is 20314444110213.

It is a happy number.

It is a super-2 number, since 2×312011444413020² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32188981 + ... + 40744979.

It is an arithmetic number, because the mean of its divisors is an integer number (6669892544000).

Almost surely, 2^{312011444413020} is an apocalyptic number.

312011444413020 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 312011444413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480232263168000).

312011444413020 is an abundant number, since it is smaller than the sum of its proper divisors (648453081922980).

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

312011444413020 is a wasteful number, since it uses less digits than its factorization.

312011444413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8561056 (or 8561043 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 312011444413020 its reverse (20314444110213), we get a palindrome (332325888523233).

The spelling of 312011444413020 in words is "three hundred twelve trillion, eleven billion, four hundred forty-four million, four hundred thirteen thousand, twenty".