312222100101120 has 864 divisors, whose sum is σ = 1241136981957600. Its totient is φ = 72399268085760.

The previous prime is 312222100101073. The next prime is 312222100101133. The reversal of 312222100101120 is 21101001222213.

312222100101120 is a `hidden beast` number, since 312 + 2 + 221 + 0 + 0 + 10 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312222100101093 and 312222100101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255872616 + ... + 257089944.

It is an arithmetic number, because the mean of its divisors is an integer number (1436501136525).

Almost surely, 2^{312222100101120} is an apocalyptic number.

312222100101120 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 312222100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620568490978800).

312222100101120 is an abundant number, since it is smaller than the sum of its proper divisors (928914881856480).

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

312222100101120 is a wasteful number, since it uses less digits than its factorization.

312222100101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217407 (or 1217373 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 312222100101120 its reverse (21101001222213), we get a palindrome (333323101323333).

The spelling of 312222100101120 in words is "three hundred twelve trillion, two hundred twenty-two billion, one hundred million, one hundred one thousand, one hundred twenty".