321214412040120 has 256 divisors, whose sum is σ = 1091010482496000. Its totient is φ = 84048208358400.

The previous prime is 321214412040113. The next prime is 321214412040161. The reversal of 321214412040120 is 21040214412123.

321214412040120 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 1 + 441 + 204 + 0 + 12 + 0 = 666.

It is a super-2 number, since 2×321214412040120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163266 + ... + 25346705.

It is an arithmetic number, because the mean of its divisors is an integer number (4261759697250).

Almost surely, 2^{321214412040120} is an apocalyptic number.

321214412040120 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 321214412040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545505241248000).

321214412040120 is an abundant number, since it is smaller than the sum of its proper divisors (769796070455880).

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

321214412040120 is a wasteful number, since it uses less digits than its factorization.

321214412040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25510211 (or 25510201 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 321214412040120 its reverse (21040214412123), we get a palindrome (342254626452243).

The spelling of 321214412040120 in words is "three hundred twenty-one trillion, two hundred fourteen billion, four hundred twelve million, forty thousand, one hundred twenty".