120021210002112 has 224 divisors, whose sum is σ = 331008629360640. Its totient is φ = 38337964277760.

The previous prime is 120021210002107. The next prime is 120021210002123. The reversal of 120021210002112 is 211200012120021.

It is a junction number, because it is equal to n+sod(n) for n = 120021210002091 and 120021210002100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1081440768 + ... + 1081551744.

It is an arithmetic number, because the mean of its divisors is an integer number (1477717095360).

Almost surely, 2^{120021210002112} is an apocalyptic number.

120021210002112 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 120021210002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165504314680320).

120021210002112 is an abundant number, since it is smaller than the sum of its proper divisors (210987419358528).

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

120021210002112 is a wasteful number, since it uses less digits than its factorization.

120021210002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112799 (or 112789 counting only the distinct ones).

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

Adding to 120021210002112 its reverse (211200012120021), we get a palindrome (331221222122133).

The spelling of 120021210002112 in words is "one hundred twenty trillion, twenty-one billion, two hundred ten million, two thousand, one hundred twelve".