312211342400100 has 648 divisors, whose sum is σ = 1076514536222496. Its totient is φ = 69778215936000.

The previous prime is 312211342400081. The next prime is 312211342400147. The reversal of 312211342400100 is 1004243112213.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4975210324 + ... + 4975273076.

Almost surely, 2^{312211342400100} is an apocalyptic number.

312211342400100 is a gapful number since it is divisible by the number (30) 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 312211342400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538257268111248).

312211342400100 is an abundant number, since it is smaller than the sum of its proper divisors (764303193822396).

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

312211342400100 is a wasteful number, since it uses less digits than its factorization.

312211342400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63629 (or 63598 counting only the distinct ones).

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

Adding to 312211342400100 its reverse (1004243112213), we get a palindrome (313215585512313).

The spelling of 312211342400100 in words is "three hundred twelve trillion, two hundred eleven billion, three hundred forty-two million, four hundred thousand, one hundred".