3121254400000 has 768 divisors, whose sum is σ = 9067825247040. Its totient is φ = 1061683200000.

The previous prime is 3121254399979. The next prime is 3121254400013. The reversal of 3121254400000 is 44521213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 19148799919 + ... + 19148800081.

Almost surely, 2^{3121254400000} 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 3121254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533912623520).

3121254400000 is an abundant number, since it is smaller than the sum of its proper divisors (5946570847040).

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

3121254400000 is an frugal number, since it uses more digits than its factorization.

3121254400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 3121254400000 its reverse (44521213), we get a palindrome (3121298921213).

The spelling of 3121254400000 in words is "three trillion, one hundred twenty-one billion, two hundred fifty-four million, four hundred thousand".