1002212001120 has 192 divisors, whose sum is σ = 3524057881344. Its totient is φ = 237310187520.

The previous prime is 1002212001071. The next prime is 1002212001139. The reversal of 1002212001120 is 211002122001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002212001096 and 1002212001105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980087 + ... + 2434166.

It is an arithmetic number, because the mean of its divisors is an integer number (18354468132).

Almost surely, 2^{1002212001120} is an apocalyptic number.

1002212001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002212001120 is an abundant number, since it is smaller than the sum of its proper divisors (2521845880224).

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

1002212001120 is a wasteful number, since it uses less digits than its factorization.

1002212001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414325 (or 4414317 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002212001120 its reverse (211002122001), we get a palindrome (1213214123121).

The spelling of 1002212001120 in words is "one trillion, two billion, two hundred twelve million, one thousand, one hundred twenty".