3123202124000 has 384 divisors, whose sum is σ = 9293205841920. Its totient is φ = 1007023104000.

The previous prime is 3123202123997. The next prime is 3123202124041. The reversal of 3123202124000 is 4212023213.

3123202124000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3123202124000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1014354461 + ... + 1014357539.

It is an arithmetic number, because the mean of its divisors is an integer number (24201056880).

Almost surely, 2^{3123202124000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123202124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646602920960).

3123202124000 is an abundant number, since it is smaller than the sum of its proper divisors (6170003717920).

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

3123202124000 is a wasteful number, since it uses less digits than its factorization.

3123202124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3123202124000 its reverse (4212023213), we get a palindrome (3127414147213).

The spelling of 3123202124000 in words is "three trillion, one hundred twenty-three billion, two hundred two million, one hundred twenty-four thousand".