321214134120000 has 1120 divisors, whose sum is σ = 1184266689851520. Its totient is φ = 76151562240000.

The previous prime is 321214134119971. The next prime is 321214134120001. The reversal of 321214134120000 is 21431412123.

It is a super-2 number, since 2×321214134120000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (321214134120001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21897472666 + ... + 21897487334.

Almost surely, 2^{321214134120000} is an apocalyptic number.

321214134120000 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 321214134120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592133344925760).

321214134120000 is an abundant number, since it is smaller than the sum of its proper divisors (863052555731520).

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

321214134120000 is a wasteful number, since it uses less digits than its factorization.

321214134120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15081 (or 15056 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 321214134120000 its reverse (21431412123), we get a palindrome (321235565532123).

The spelling of 321214134120000 in words is "three hundred twenty-one trillion, two hundred fourteen billion, one hundred thirty-four million, one hundred twenty thousand".