2312100146400 has 576 divisors, whose sum is σ = 8281598443776. Its totient is φ = 555649024000.

The previous prime is 2312100146387. The next prime is 2312100146407. The reversal of 2312100146400 is 46410012132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312100146407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1683976114 + ... + 1683977486.

It is an arithmetic number, because the mean of its divisors is an integer number (14377775076).

Almost surely, 2^{2312100146400} is an apocalyptic number.

2312100146400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312100146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140799221888).

2312100146400 is an abundant number, since it is smaller than the sum of its proper divisors (5969498297376).

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

2312100146400 is a wasteful number, since it uses less digits than its factorization.

2312100146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2312100146400 its reverse (46410012132), we get a palindrome (2358510158532).

The spelling of 2312100146400 in words is "two trillion, three hundred twelve billion, one hundred million, one hundred forty-six thousand, four hundred".