120000102122112 has 256 divisors, whose sum is σ = 326688746659200. Its totient is φ = 39014741639168.

The previous prime is 120000102122101. The next prime is 120000102122119. The reversal of 120000102122112 is 211221201000021.

It is a junction number, because it is equal to n+sod(n) for n = 120000102122091 and 120000102122100.

It is not an unprimeable number, because it can be changed into a prime (120000102122119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6682627438 + ... + 6682645394.

Almost surely, 2^{120000102122112} is an apocalyptic number.

120000102122112 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 120000102122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163344373329600).

120000102122112 is an abundant number, since it is smaller than the sum of its proper divisors (206688644537088).

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

120000102122112 is a wasteful number, since it uses less digits than its factorization.

120000102122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20323 (or 20311 counting only the distinct ones).

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

Adding to 120000102122112 its reverse (211221201000021), we get a palindrome (331221303122133).

The spelling of 120000102122112 in words is "one hundred twenty trillion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".