1002012212112 has 320 divisors, whose sum is σ = 2827133337600. Its totient is φ = 304771299840.

The previous prime is 1002012212107. The next prime is 1002012212167. The reversal of 1002012212112 is 2112122102001.

1002012212112 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 a junction number, because it is equal to n+sod(n) for n = 1002012212091 and 1002012212100.

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, 1450089687 + ... + 1450090377.

It is an arithmetic number, because the mean of its divisors is an integer number (8834791680).

Almost surely, 2^{1002012212112} is an apocalyptic number.

1002012212112 is a gapful number since it is divisible by the number (12) 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 1002012212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413566668800).

1002012212112 is an abundant number, since it is smaller than the sum of its proper divisors (1825121125488).

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

1002012212112 is a wasteful number, since it uses less digits than its factorization.

1002012212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1002012212112 its reverse (2112122102001), we get a palindrome (3114134314113).

The spelling of 1002012212112 in words is "one trillion, two billion, twelve million, two hundred twelve thousand, one hundred twelve".