312211001122020 has 1728 divisors, whose sum is σ = 1329405126486528. Its totient is φ = 57664128614400.

The previous prime is 312211001121989. The next prime is 312211001122091. The reversal of 312211001122020 is 20221100112213.

312211001122020 is a `hidden beast` number, since 31 + 221 + 100 + 112 + 202 + 0 = 666.

It is a super-2 number, since 2×312211001122020² (a number of 30 digits) contains 22 as substring.

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 = 312211001121984 and 312211001122002.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7113304275 + ... + 7113348165.

Almost surely, 2^{312211001122020} is an apocalyptic number.

312211001122020 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 312211001122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664702563243264).

312211001122020 is an abundant number, since it is smaller than the sum of its proper divisors (1017194125364508).

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

312211001122020 is a wasteful number, since it uses less digits than its factorization.

312211001122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44082 (or 44066 counting only the distinct ones).

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

Adding to 312211001122020 its reverse (20221100112213), we get a palindrome (332432101234233).

The spelling of 312211001122020 in words is "three hundred twelve trillion, two hundred eleven billion, one million, one hundred twenty-two thousand, twenty".