321213142401000 has 128 divisors (see below), whose sum is σ = 1034513553116160. Its totient is φ = 82893714144000.

The previous prime is 321213142400977. The next prime is 321213142401001. The reversal of 321213142401000 is 104241312123.

It is a super-2 number, since 2×321213142401000² (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 (321213142401001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1726859379 + ... + 1727045378.

It is an arithmetic number, because the mean of its divisors is an integer number (8082137133720).

Almost surely, 2^{321213142401000} is an apocalyptic number.

321213142401000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321213142401000 is an abundant number, since it is smaller than the sum of its proper divisors (713300410715160).

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

321213142401000 is a wasteful number, since it uses less digits than its factorization.

321213142401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453904812 (or 3453904798 counting only the distinct ones).

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

Adding to 321213142401000 its reverse (104241312123), we get a palindrome (321317383713123).

The spelling of 321213142401000 in words is "three hundred twenty-one trillion, two hundred thirteen billion, one hundred forty-two million, four hundred one thousand".