1001122221312 has 54 divisors (see below), whose sum is σ = 2886482175122. Its totient is φ = 333707406336.

The previous prime is 1001122221257. The next prime is 1001122221329. The reversal of 1001122221312 is 2131222211001.

1001122221312 is a `hidden beast` number, since 10 + 0 + 1 + 122 + 221 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 721983292416 + 279138928896 = 849696^2 + 528336^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 217255123 + ... + 217259730.

Almost surely, 2^{1001122221312} is an apocalyptic number.

1001122221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001122221312 is an abundant number, since it is smaller than the sum of its proper divisors (1885359953810).

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

1001122221312 is an equidigital number, since it uses as much as digits as its factorization.

1001122221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434514875 (or 434514858 counting only the distinct ones).

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

Adding to 1001122221312 its reverse (2131222211001), we get a palindrome (3132344432313).

The spelling of 1001122221312 in words is "one trillion, one billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred twelve".