1002112011120 has 320 divisors, whose sum is σ = 3744328633344. Its totient is φ = 218704527360.

The previous prime is 1002112011091. The next prime is 1002112011149. The reversal of 1002112011120 is 211102112001.

1002112011120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1002112011091) and next prime (1002112011149).

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 = 1002112011096 and 1002112011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546834 + ... + 1517646.

Almost surely, 2^{1002112011120} is an apocalyptic number.

1002112011120 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 1002112011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872164316672).

1002112011120 is an abundant number, since it is smaller than the sum of its proper divisors (2742216622224).

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

1002112011120 is a wasteful number, since it uses less digits than its factorization.

1002112011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970880 (or 970874 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002112011120 its reverse (211102112001), we get a palindrome (1213214123121).

The spelling of 1002112011120 in words is "one trillion, two billion, one hundred twelve million, eleven thousand, one hundred twenty".