3123231012000 has 288 divisors, whose sum is σ = 12092016291264. Its totient is φ = 757146816000.

The previous prime is 3123231011867. The next prime is 3123231012029. The reversal of 3123231012000 is 2101323213.

3123231012000 is a `hidden beast` number, since 3 + 1 + 232 + 310 + 120 + 0 + 0 = 666.

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

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, 3547474 + ... + 4339473.

It is an arithmetic number, because the mean of its divisors is an integer number (41986167678).

Almost surely, 2^{3123231012000} is an apocalyptic number.

3123231012000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3123231012000 is an abundant number, since it is smaller than the sum of its proper divisors (8968785279264).

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

3123231012000 is a wasteful number, since it uses less digits than its factorization.

3123231012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7886989 (or 7886968 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3123231012000 its reverse (2101323213), we get a palindrome (3125332335213).

The spelling of 3123231012000 in words is "three trillion, one hundred twenty-three billion, two hundred thirty-one million, twelve thousand".