312213312221100 has 144 divisors (see below), whose sum is σ = 943063983375360. Its totient is φ = 79598893017600.

The previous prime is 312213312221087. The next prime is 312213312221141. The reversal of 312213312221100 is 1122213312213.

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, 3583965 + ... + 25244235.

Almost surely, 2^{312213312221100} is an apocalyptic number.

312213312221100 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 312213312221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471531991687680).

312213312221100 is an abundant number, since it is smaller than the sum of its proper divisors (630850671154260).

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

312213312221100 is a wasteful number, since it uses less digits than its factorization.

312213312221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21662400 (or 21662393 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312213312221100 its reverse (1122213312213), we get a palindrome (313335525533313).

The spelling of 312213312221100 in words is "three hundred twelve trillion, two hundred thirteen billion, three hundred twelve million, two hundred twenty-one thousand, one hundred".