321212450506140 has 288 divisors, whose sum is σ = 989601651065664. Its totient is φ = 84326223052800.

The previous prime is 321212450506109. The next prime is 321212450506169. The reversal of 321212450506140 is 41605054212123.

321212450506140 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 1 + 2 + 4 + 5 + 0 + 506 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321212450506095 and 321212450506104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2602387107 + ... + 2602510533.

It is an arithmetic number, because the mean of its divisors is an integer number (3436116843978).

Almost surely, 2^{321212450506140} is an apocalyptic number.

321212450506140 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 321212450506140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494800825532832).

321212450506140 is an abundant number, since it is smaller than the sum of its proper divisors (668389200559524).

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

321212450506140 is a wasteful number, since it uses less digits than its factorization.

321212450506140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124357 (or 124352 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 321212450506140 in words is "three hundred twenty-one trillion, two hundred twelve billion, four hundred fifty million, five hundred six thousand, one hundred forty".