312122101140 has 192 divisors, whose sum is σ = 981940619520. Its totient is φ = 82300354560.

The previous prime is 312122101127. The next prime is 312122101157. The reversal of 312122101140 is 41101221213.

312122101140 is a `hidden beast` number, since 312 + 1 + 2 + 210 + 1 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82287084 + ... + 82290876.

It is an arithmetic number, because the mean of its divisors is an integer number (5114274060).

Almost surely, 2^312122101140 is an apocalyptic number.

312122101140 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 312122101140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490970309760).

312122101140 is an abundant number, since it is smaller than the sum of its proper divisors (669818518380).

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

312122101140 is a wasteful number, since it uses less digits than its factorization.

312122101140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 312122101140 its reverse (41101221213), we get a palindrome (353223322353).

The spelling of 312122101140 in words is "three hundred twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred forty".