231221001030000 has 200 divisors, whose sum is σ = 785697076454400. Its totient is φ = 58413726432000.

The previous prime is 231221001029989. The next prime is 231221001030007. The reversal of 231221001030000 is 30100122132.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×231221001030000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231221001030007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202255440 + ... + 203395439.

It is an arithmetic number, because the mean of its divisors is an integer number (3928485382272).

Almost surely, 2^{231221001030000} is an apocalyptic number.

231221001030000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231221001030000 is an abundant number, since it is smaller than the sum of its proper divisors (554476075424400).

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

231221001030000 is a wasteful number, since it uses less digits than its factorization.

231221001030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405650929 (or 405650908 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 231221001030000 its reverse (30100122132), we get a palindrome (231251101152132).

The spelling of 231221001030000 in words is "two hundred thirty-one trillion, two hundred twenty-one billion, one million, thirty thousand".