1002211213120 has 112 divisors (see below), whose sum is σ = 2572435434240. Its totient is φ = 369710032896.

The previous prime is 1002211213097. The next prime is 1002211213181. The reversal of 1002211213120 is 213121122001.

1002211213120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1002211213094 and 1002211213103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4479271 + ... + 4697689.

It is an arithmetic number, because the mean of its divisors is an integer number (22968173520).

Almost surely, 2^{1002211213120} is an apocalyptic number.

1002211213120 is a gapful number since it is divisible by the number (10) 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 1002211213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286217717120).

1002211213120 is an abundant number, since it is smaller than the sum of its proper divisors (1570224221120).

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

1002211213120 is a wasteful number, since it uses less digits than its factorization.

1002211213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219552 (or 219542 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1002211213120 its reverse (213121122001), we get a palindrome (1215332335121).

The spelling of 1002211213120 in words is "one trillion, two billion, two hundred eleven million, two hundred thirteen thousand, one hundred twenty".