23212311012000 has 288 divisors, whose sum is σ = 89869628931264. Its totient is φ = 5627226816000.

The previous prime is 23212311011999. The next prime is 23212311012031. The reversal of 23212311012000 is 21011321232.

23212311012000 is a `hidden beast` number, since 23 + 212 + 311 + 0 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×23212311012000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28912474 + ... + 29704473.

It is an arithmetic number, because the mean of its divisors is an integer number (312047322678).

Almost surely, 2^{23212311012000} is an apocalyptic number.

23212311012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23212311012000 is an abundant number, since it is smaller than the sum of its proper divisors (66657317919264).

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

23212311012000 is a wasteful number, since it uses less digits than its factorization.

23212311012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58616989 (or 58616968 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23212311012000 its reverse (21011321232), we get a palindrome (23233322333232).

The spelling of 23212311012000 in words is "twenty-three trillion, two hundred twelve billion, three hundred eleven million, twelve thousand".